34500968757 has 6 divisors (see below), whose sum is σ = 49834732662. Its totient is φ = 23000645832.

The previous prime is 34500968753. The next prime is 34500968779. The reversal of 34500968757 is 75786900543.

34500968757 is a `hidden beast` number, since 3 + 4 + 500 + 9 + 6 + 87 + 57 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34492289841 + 8678916 = 185721^2 + 2946^2 .

It is not a de Polignac number, because 34500968757 - 2² = 34500968753 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34500968753) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1916720478 + ... + 1916720495.

It is an arithmetic number, because the mean of its divisors is an integer number (8305788777).

Almost surely, 2^34500968757 is an apocalyptic number.

It is an amenable number.

34500968757 is a deficient number, since it is larger than the sum of its proper divisors (15333763905).

34500968757 is a wasteful number, since it uses less digits than its factorization.

34500968757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3833440979 (or 3833440976 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 34500968757 in words is "thirty-four billion, five hundred million, nine hundred sixty-eight thousand, seven hundred fifty-seven".