34880117427120 has 320 divisors, whose sum is σ = 132420854522880. Its totient is φ = 7413216313344.

The previous prime is 34880117427091. The next prime is 34880117427167. The reversal of 34880117427120 is 2172471108843.

It is a super-2 number, since 2×34880117427120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34880117427120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4986705 + ... + 9727664.

It is an arithmetic number, because the mean of its divisors is an integer number (413815170384).

Almost surely, 2^{34880117427120} is an apocalyptic number.

34880117427120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34880117427120 is an abundant number, since it is smaller than the sum of its proper divisors (97540737095760).

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

34880117427120 is a wasteful number, since it uses less digits than its factorization.

34880117427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14714492 (or 14714486 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 34880117427120 in words is "thirty-four trillion, eight hundred eighty billion, one hundred seventeen million, four hundred twenty-seven thousand, one hundred twenty".