34415005664 has 48 divisors (see below), whose sum is σ = 73045793520. Its totient is φ = 15866572800.

The previous prime is 34415005643. The next prime is 34415005721. The reversal of 34415005664 is 46650051443.

It is a super-2 number, since 2×34415005664² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341939 + ... + 430989.

It is an arithmetic number, because the mean of its divisors is an integer number (1521787365).

Almost surely, 2^34415005664 is an apocalyptic number.

It is an amenable number.

34415005664 is an abundant number, since it is smaller than the sum of its proper divisors (38630787856).

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

34415005664 is a wasteful number, since it uses less digits than its factorization.

34415005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90003 (or 89995 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 34415005664 in words is "thirty-four billion, four hundred fifteen million, five thousand, six hundred sixty-four".