735036416 has 44 divisors (see below), whose sum is σ = 1489634652. Its totient is φ = 362446848.

The previous prime is 735036409. The next prime is 735036427. The reversal of 735036416 is 614630537.

It can be written as a sum of positive squares in 2 ways, for example, as 400000000 + 335036416 = 20000^2 + 18304^2 .

It is a super-2 number, since 2×735036416² = 1080557065692250112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69836 + ... + 79668.

It is an arithmetic number, because the mean of its divisors is an integer number (33855333).

Almost surely, 2^735036416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 735036416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744817326).

735036416 is an abundant number, since it is smaller than the sum of its proper divisors (754598236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

735036416 is an equidigital number, since it uses as much as digits as its factorization.

735036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9926 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 735036416 is about 27111.5550273311. Note that the first 3 decimals coincide. The cubic root of 735036416 is about 902.4772966667.

The spelling of 735036416 in words is "seven hundred thirty-five million, thirty-six thousand, four hundred sixteen".