34117090425 has 144 divisors (see below), whose sum is σ = 69052663680. Its totient is φ = 16089321600.

The previous prime is 34117090363. The next prime is 34117090439. The reversal of 34117090425 is 52409071143.

34117090425 is a `hidden beast` number, since 34 + 117 + 0 + 90 + 425 = 666.

It is not a de Polignac number, because 34117090425 - 2¹¹ = 34117088377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34117090425.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11079036 + ... + 11082114.

Almost surely, 2^34117090425 is an apocalyptic number.

It is an amenable number.

34117090425 is an abundant number, since it is smaller than the sum of its proper divisors (34935573255).

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

34117090425 is a wasteful number, since it uses less digits than its factorization.

34117090425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 34117090425 in words is "thirty-four billion, one hundred seventeen million, ninety thousand, four hundred twenty-five".