Iranian state TV said thousands of survivors had spent another night in makeshift camps or in the open. Authorities said Iran's armed forces will be sent to help remove rubble.
Rouhani Tuesday visited the town of Sar-e Pol-e Zahab, worst hit by the quake.
"It is a very cold night".
The report Tuesday afternoon by the IRNA news agency said the number of injured in the temblor now stood at 7,460.
The 7.3-magnitude natural disaster struck villages and towns in the mountainous area of Kermanshah province that borders Iraq.
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Rouhani said all aid would be channelled through the Housing Foundation, one of the charitable trusts set up after the Islamic revolution of 1979 that are major players in the Iranian economy.
"Newly constructed buildings. held up well, but the old houses built with earth were totally destroyed", he told state television.
Iran's Red Crescent Society officials announced on Monday evening that the rescue operations in Kermanshah will be completed in a few hours.
The epicentre of the natural disaster was near the border, 20 miles southwest of the city of Halabjah in Iran.
Competing in the men's 85-kilogram weight category, Rostami became the first Iranian to take home gold in the 2016 Olympics, lifting a world record 396 kilograms from the ground to his shoulders, regaining his strength and composure before hoisting it above his head. Tremors were felt as far away as Turkey, Israel, Kuwait and Pakistan.