34624716957 has 12 divisors (see below), whose sum is σ = 51365196220. Its totient is φ = 22459275648.

The previous prime is 34624716949. The next prime is 34624716961. The reversal of 34624716957 is 75961742643.

34624716957 is a `hidden beast` number, since 3 + 4 + 62 + 471 + 69 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27524800836 + 7099916121 = 165906^2 + 84261^2 .

It is not a de Polignac number, because 34624716957 - 2³ = 34624716949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34624718957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51988732 + ... + 51989397.

Almost surely, 2^34624716957 is an apocalyptic number.

34624716957 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

34624716957 is a deficient number, since it is larger than the sum of its proper divisors (16740479263).

34624716957 is a wasteful number, since it uses less digits than its factorization.

34624716957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103978172 (or 103978169 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 34624716957 in words is "thirty-four billion, six hundred twenty-four million, seven hundred sixteen thousand, nine hundred fifty-seven".