34607665664 has 320 divisors, whose sum is σ = 84639582720. Its totient is φ = 13927710720.

The previous prime is 34607665661. The next prime is 34607665717. The reversal of 34607665664 is 46656670643.

It is a super-2 number, since 2×34607665664² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34607665661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306262472 + ... + 306262584.

It is an arithmetic number, because the mean of its divisors is an integer number (264498696).

Almost surely, 2^34607665664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34607665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42319791360).

34607665664 is an abundant number, since it is smaller than the sum of its proper divisors (50031917056).

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

34607665664 is a wasteful number, since it uses less digits than its factorization.

34607665664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 53.

The spelling of 34607665664 in words is "thirty-four billion, six hundred seven million, six hundred sixty-five thousand, six hundred sixty-four".