34990758700128 has 432 divisors, whose sum is σ = 125405406846720. Its totient is φ = 9058885102080.

The previous prime is 34990758700123. The next prime is 34990758700171. The reversal of 34990758700128 is 82100785709943.

34990758700128 is a `hidden beast` number, since 3 + 49 + 9 + 0 + 7 + 587 + 0 + 0 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34990758700123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74654733 + ... + 75121971.

Almost surely, 2^{34990758700128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34990758700128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62702703423360).

34990758700128 is an abundant number, since it is smaller than the sum of its proper divisors (90414648146592).

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

34990758700128 is a wasteful number, since it uses less digits than its factorization.

34990758700128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467591 (or 467569 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 34990758700128 in words is "thirty-four trillion, nine hundred ninety billion, seven hundred fifty-eight million, seven hundred thousand, one hundred twenty-eight".