The death toll previously stood at 29 people.
According to local officials, as cited by the NDTV broadcaster, the government's top priority at the moment is to restore water and electricity grids. The Odisha state capital's electric grid should be fixed by 12 May, the broadcaster added.
Over 1 million people across Odisha were evacuated and relocated to camps for temporary staying because of the devastating cyclone. On Sunday, Odisha Chief Minister Naveen Patnaik announced a relief package for the affected Indians, including cash, rice and polythene sheets.
Experts have qualified Fani as one of the most devastating cyclones that India has seen over the past 20 years and the most powerful cyclone to his Odisha since 2014.