34912152705664 has 256 divisors, whose sum is σ = 77234981644800. Its totient is φ = 15619761930240.

The previous prime is 34912152705637. The next prime is 34912152705679. The reversal of 34912152705664 is 46650725121943.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4707041284 + ... + 4707048700.

It is an arithmetic number, because the mean of its divisors is an integer number (301699147050).

Almost surely, 2^{34912152705664} 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 34912152705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38617490822400).

34912152705664 is an abundant number, since it is smaller than the sum of its proper divisors (42322828939136).

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

34912152705664 is a wasteful number, since it uses less digits than its factorization.

34912152705664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8171 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 34912152705664 in words is "thirty-four trillion, nine hundred twelve billion, one hundred fifty-two million, seven hundred five thousand, six hundred sixty-four".