34399120900 has 81 divisors (see below), whose sum is σ = 79368077887. Its totient is φ = 12938387200.

The previous prime is 34399120859. The next prime is 34399120913. The reversal of 34399120900 is 902199343.

The square root of 34399120900 is 185470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 804629956 + 33594490944 = 28366^2 + 183288^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31529355 + ... + 31530445.

Almost surely, 2^34399120900 is an apocalyptic number.

34399120900 is the 185470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34399120900

34399120900 is an abundant number, since it is smaller than the sum of its proper divisors (44968956987).

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

34399120900 is a wasteful number, since it uses less digits than its factorization.

34399120900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 1115 counting only the distinct ones).

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

The spelling of 34399120900 in words is "thirty-four billion, three hundred ninety-nine million, one hundred twenty thousand, nine hundred".