34513073568 has 120 divisors (see below), whose sum is σ = 105915303648. Its totient is φ = 11004149376.

The previous prime is 34513073561. The next prime is 34513073579. The reversal of 34513073568 is 86537031543.

34513073568 is a `hidden beast` number, since 3 + 4 + 5 + 13 + 0 + 73 + 568 = 666.

It is a super-3 number, since 3×34513073568³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (34513073561) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 229846 + ... + 349077.

Almost surely, 2^34513073568 is an apocalyptic number.

It is an amenable number.

34513073568 is an abundant number, since it is smaller than the sum of its proper divisors (71402230080).

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

34513073568 is a wasteful number, since it uses less digits than its factorization.

34513073568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578968 (or 578951 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 34513073568 in words is "thirty-four billion, five hundred thirteen million, seventy-three thousand, five hundred sixty-eight".