34392444304 has 45 divisors (see below), whose sum is σ = 67690766689. Its totient is φ = 16928058560.

The previous prime is 34392444283. The next prime is 34392444311. The reversal of 34392444304 is 40344429343.

It is a happy number.

The square root of 34392444304 is 185452.

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

It can be written as a sum of positive squares in only one way, i.e., 8003091600 + 26389352704 = 89460^2 + 162448^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 52668042 + ... + 52668694.

Almost surely, 2^34392444304 is an apocalyptic number.

34392444304 is the 185452-nd square number.

It is an amenable number.

34392444304 is a deficient number, since it is larger than the sum of its proper divisors (33298322385).

34392444304 is an frugal number, since it uses more digits than its factorization.

34392444304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 40.

The spelling of 34392444304 in words is "thirty-four billion, three hundred ninety-two million, four hundred forty-four thousand, three hundred four".