34073760029888 has 56 divisors (see below), whose sum is σ = 68032344260160. Its totient is φ = 16931759443200.

The previous prime is 34073760029849. The next prime is 34073760029927. The reversal of 34073760029888 is 88892006737043.

It is an interprime number because it is at equal distance from previous prime (34073760029849) and next prime (34073760029927).

It is a super-2 number, since 2×34073760029888² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 509663663 + ... + 509730513.

It is an arithmetic number, because the mean of its divisors is an integer number (1214863290360).

Almost surely, 2^{34073760029888} is an apocalyptic number.

It is an amenable number.

34073760029888 is a deficient number, since it is larger than the sum of its proper divisors (33958584230272).

34073760029888 is a wasteful number, since it uses less digits than its factorization.

34073760029888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115885 (or 115875 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 65.

The spelling of 34073760029888 in words is "thirty-four trillion, seventy-three billion, seven hundred sixty million, twenty-nine thousand, eight hundred eighty-eight".