34513304256 has 140 divisors (see below), whose sum is σ = 108326654568. Its totient is φ = 10827675648.

The previous prime is 34513304249. The next prime is 34513304291. The reversal of 34513304256 is 65240331543.

34513304256 is a `hidden beast` number, since 345 + 1 + 3 + 304 + 2 + 5 + 6 = 666.

It is a super-3 number, since 3×34513304256³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34513304256.

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 19 ways as a sum of consecutive naturals, for example, 107686 + ... + 283941.

Almost surely, 2^34513304256 is an apocalyptic number.

34513304256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34513304256 is an abundant number, since it is smaller than the sum of its proper divisors (73813350312).

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

34513304256 is a wasteful number, since it uses less digits than its factorization.

34513304256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391668 (or 391649 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 34513304256 its reverse (65240331543), we get a palindrome (99753635799).

The spelling of 34513304256 in words is "thirty-four billion, five hundred thirteen million, three hundred four thousand, two hundred fifty-six".