World leaders including US President Barack Obama have strongly condemned the attempted putsch but also urged Turkey to respect the "rule of law" in its aftermath, especially after pictures emerged showing the rough treatment of some coup plotters when arrested.
According to the government, 161 civilians and regular troops lost their lives when a group within the army sought to overthrow the authorities by seizing key strategic points in Istanbul and Ankara.
The botched coup bid marked the biggest challenge to Erdogan's rule in 13 years as prime minister and now president. But he successfully mobilised supporters into the streets to face down the plotters.
Thousands responded late yesterday to a new call by the president to pour into the squares to celebrate the "victory of democracy" with mass rallies of flag-waving Turks reported in cities including Ankara, Istanbul and Izmir.
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Europe Minister Omer Celik urged people to stay on the streets, writing on Twitter that the "vigil for democracy" continues.
The government has already said that almost 3,000 soldiers had been detained on suspicion of involvement in the putsch which raised fears of chaos in the strategic NATO member state of almost 80 million.
Turkish television has shown images of captured coup plotters forced to lie face down on the tarmac after arrest while AFP photographers have seen suspects roughly led away pursued by angry mobs.
NTV television said that 34 generals of various grades had been detained so far. They include senior figures like Erdal Ozturk, commander of the third army and the commander of the Malatya-based second army, Adem Huduti.
officers accused of backing the failed coup at a key air base used by US forces for raids in Syria.
Brigadier air force general Bekir Ercan Van was detained along with over a dozen lower ranking officers on Saturday at the Incirlik air force base in Turkey's southern Adana province, newspapers including the Hurriyet daily said.
The base has become a key hub for US forces after Turkey last year agreed to allow the United States to use Incirlik to carry out lethal raids against jihadists in Syria.
Former chief of staff Ilker Basbug told Dogan news agency that Turkey should make a distinction between the coup planners and young soldiers "of 20 years old who may have been mistaken".
The entire investigation is being led by Ankara prosecutors and those arrested are suspected of belonging to Gulen's group, which Turkey dubs the "Fethullahci Terror Organisation (FETO)".
Gulen's supporters say their group which they call Hizmet (Service) is entirely peaceful.
US President Barack Obama has warned Turkey there is a "vital need" for all parties to "act within the rule of law" in the aftermath of the coup.
Friday's putsch bid began with rebel F-16 jets screaming low over rooftops in Ankara, soldiers and tanks taking to the streets. Rebel troops also moved to block the two bridges across the Bosphorus Strait in Istanbul.
Erdogan has pinned the blame on Gulen, a former ally who he accuses of running a "parallel state", and called on Obama to extradite the reclusive preacher to face justice.
"Mr President, I told you myself, either deport or hand over to us this person who lives in 400 acres of land in Pennsylvania," he told a triumphant rally in Istanbul late Saturday, carefully not referring to Gulen by name.
In an interview with Haberturk television, Labour Minister Suleyman Soylu went even further saying "The United States is behind the coup" and adding it had now to handover Gulen.
Meanwhile, Turkey has demanded the extradition of eight people thought to have been involved in the putsch who landed in a Black Hawk military helicopter in Greece.
The suspects are still in Greece, but the chopper itself is now been flown back to Turkey, a Turkish official said.
Istanbul authorities have sought to get life back to normal, resuming service at Ataturk International Airport, which was shut down by the plotters.
But Washington on Saturday warned citizens against travel to the country, suspending flights and banning all airlines from flying to the United States from Turkey due to uncertainty after the coup bid.