34124000931 has 96 divisors (see below), whose sum is σ = 54567152640. Its totient is φ = 20471657472.

The previous prime is 34124000863. The next prime is 34124000947. The reversal of 34124000931 is 13900042143.

It is not a de Polignac number, because 34124000931 - 2⁹ = 34124000419 is a prime.

It is a super-2 number, since 2×34124000931² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34124000895 and 34124000904.

It is not an unprimeable number, because it can be changed into a prime (34124000951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101257995 + ... + 101258331.

It is an arithmetic number, because the mean of its divisors is an integer number (568407840).

Almost surely, 2^34124000931 is an apocalyptic number.

34124000931 is the 98741-st nonagonal number.

34124000931 is a deficient number, since it is larger than the sum of its proper divisors (20443151709).

34124000931 is a wasteful number, since it uses less digits than its factorization.

34124000931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 34124000931 in words is "thirty-four billion, one hundred twenty-four million, nine hundred thirty-one", and thus it is an aban number.