34996900 has 36 divisors (see below), whose sum is σ = 76284180. Its totient is φ = 13936000.

The previous prime is 34996889. The next prime is 34996909. The reversal of 34996900 is 969943.

It can be written as a sum of positive squares in 6 ways, for example, as 17239104 + 17757796 = 4152^2 + 4214^2 .

It is a super-2 number, since 2×34996900² = 2449566019220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34996909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26250 + ... + 27550.

It is an arithmetic number, because the mean of its divisors is an integer number (2119005).

Almost surely, 2^34996900 is an apocalyptic number.

It is an amenable number.

34996900 is an abundant number, since it is smaller than the sum of its proper divisors (41287280).

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

34996900 is a wasteful number, since it uses less digits than its factorization.

34996900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 40.

The square root of 34996900 is about 5915.8177794790. The cubic root of 34996900 is about 327.0969732999.

The spelling of 34996900 in words is "thirty-four million, nine hundred ninety-six thousand, nine hundred".