34859877264 has 45 divisors (see below), whose sum is σ = 97565510523. Its totient is φ = 11619212256.

The previous prime is 34859877229. The next prime is 34859877287. The reversal of 34859877264 is 46277895843.

The square root of 34859877264 is 186708.

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

34859877264 is a `hidden beast` number, since 3 + 485 + 9 + 87 + 72 + 6 + 4 = 666.

It is a super-2 number, since 2×34859877264² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2232717 + ... + 2248275.

Almost surely, 2^34859877264 is an apocalyptic number.

34859877264 is the 186708-th square number.

It is an amenable number.

34859877264 is an abundant number, since it is smaller than the sum of its proper divisors (62705633259).

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

34859877264 is an frugal number, since it uses more digits than its factorization.

34859877264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31132 (or 15564 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 34859877264 in words is "thirty-four billion, eight hundred fifty-nine million, eight hundred seventy-seven thousand, two hundred sixty-four".