34205022916 has 81 divisors (see below), whose sum is σ = 65697147117. Its totient is φ = 15579851040.

The previous prime is 34205022913. The next prime is 34205022931. The reversal of 34205022916 is 61922050243.

The square root of 34205022916 is 184946.

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., 10026016900 + 24179006016 = 100130^2 + 155496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34205022913) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 217866310 + ... + 217866466.

Almost surely, 2^34205022916 is an apocalyptic number.

34205022916 is the 184946-th square number.

It is an amenable number.

34205022916 is a deficient number, since it is larger than the sum of its proper divisors (31492124201).

34205022916 is a wasteful number, since it uses less digits than its factorization.

34205022916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 34205022916 in words is "thirty-four billion, two hundred five million, twenty-two thousand, nine hundred sixteen".