34013622456 has 48 divisors (see below), whose sum is σ = 100494795960. Its totient is φ = 10307158080.

The previous prime is 34013622443. The next prime is 34013622479. The reversal of 34013622456 is 65422631043.

34013622456 is a `hidden beast` number, since 3 + 401 + 3 + 6 + 2 + 245 + 6 = 666.

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 34013622456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21472455 + ... + 21474038.

Almost surely, 2^34013622456 is an apocalyptic number.

34013622456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34013622456 is an abundant number, since it is smaller than the sum of its proper divisors (66481173504).

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

34013622456 is a wasteful number, since it uses less digits than its factorization.

34013622456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42946516 (or 42946509 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34013622456 in words is "thirty-four billion, thirteen million, six hundred twenty-two thousand, four hundred fifty-six".