34087679264 has 48 divisors (see below), whose sum is σ = 69447180600. Its totient is φ = 16450689024.

The previous prime is 34087679243. The next prime is 34087679281. The reversal of 34087679264 is 46297678043.

It can be written as a sum of positive squares in 4 ways, for example, as 33525610000 + 562069264 = 183100^2 + 23708^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5469302 + ... + 5475530.

Almost surely, 2^34087679264 is an apocalyptic number.

It is an amenable number.

34087679264 is an abundant number, since it is smaller than the sum of its proper divisors (35359501336).

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

34087679264 is a wasteful number, since it uses less digits than its factorization.

34087679264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12165 (or 12157 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 56.

The spelling of 34087679264 in words is "thirty-four billion, eighty-seven million, six hundred seventy-nine thousand, two hundred sixty-four".