34934367120 has 80 divisors (see below), whose sum is σ = 108371254272. Its totient is φ = 9309404160.

The previous prime is 34934367079. The next prime is 34934367269. The reversal of 34934367120 is 2176343943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303564 + ... + 402516.

Almost surely, 2^34934367120 is an apocalyptic number.

34934367120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34934367120 is an abundant number, since it is smaller than the sum of its proper divisors (73436887152).

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

34934367120 is a wasteful number, since it uses less digits than its factorization.

34934367120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100440 (or 100434 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 34934367120 in words is "thirty-four billion, nine hundred thirty-four million, three hundred sixty-seven thousand, one hundred twenty".