34995809806464 has 512 divisors, whose sum is σ = 108771102720000. Its totient is φ = 9875425443840.

The previous prime is 34995809806417. The next prime is 34995809806471. The reversal of 34995809806464 is 46460890859943.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 698340769 + ... + 698390879.

It is an arithmetic number, because the mean of its divisors is an integer number (212443560000).

Almost surely, 2^{34995809806464} 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 34995809806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54385551360000).

34995809806464 is an abundant number, since it is smaller than the sum of its proper divisors (73775292913536).

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

34995809806464 is a wasteful number, since it uses less digits than its factorization.

34995809806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50396 (or 50384 counting only the distinct ones).

The product of its (nonzero) digits is 1612431360, while the sum is 75.

The spelling of 34995809806464 in words is "thirty-four trillion, nine hundred ninety-five billion, eight hundred nine million, eight hundred six thousand, four hundred sixty-four".