34306130664 has 96 divisors (see below), whose sum is σ = 103189161600. Its totient is φ = 10555721280.

The previous prime is 34306130653. The next prime is 34306130671. The reversal of 34306130664 is 46603160343.

34306130664 is a `hidden beast` number, since 3 + 4 + 30 + 613 + 0 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×34306130664² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433392 + ... + 506399.

It is an arithmetic number, because the mean of its divisors is an integer number (1074887100).

Almost surely, 2^34306130664 is an apocalyptic number.

It is an amenable number.

34306130664 is an abundant number, since it is smaller than the sum of its proper divisors (68883030936).

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

34306130664 is a wasteful number, since it uses less digits than its factorization.

34306130664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939832 (or 939809 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 34306130664 in words is "thirty-four billion, three hundred six million, one hundred thirty thousand, six hundred sixty-four".