34512974117760 has 128 divisors (see below), whose sum is σ = 110014832131200. Its totient is φ = 9203064293376.

The previous prime is 34512974117729. The next prime is 34512974117813. The reversal of 34512974117760 is 6771147921543.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34512974117760² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34512974117760.

It is a congruent number.

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, 45742287 + ... + 46490673.

It is an arithmetic number, because the mean of its divisors is an integer number (859490876025).

Almost surely, 2^{34512974117760} is an apocalyptic number.

34512974117760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34512974117760 is an abundant number, since it is smaller than the sum of its proper divisors (75501858013440).

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

34512974117760 is a wasteful number, since it uses less digits than its factorization.

34512974117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772428 (or 772416 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 57.

The spelling of 34512974117760 in words is "thirty-four trillion, five hundred twelve billion, nine hundred seventy-four million, one hundred seventeen thousand, seven hundred sixty".