34960056768 has 336 divisors, whose sum is σ = 126207617536. Its totient is φ = 9005230080.

The previous prime is 34960056743. The next prime is 34960056779. The reversal of 34960056768 is 86765006943.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2246133 + ... + 2261643.

Almost surely, 2^34960056768 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 34960056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63103808768).

34960056768 is an abundant number, since it is smaller than the sum of its proper divisors (91247560768).

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

34960056768 is a wasteful number, since it uses less digits than its factorization.

34960056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15592 (or 15579 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 34960056768 in words is "thirty-four billion, nine hundred sixty million, fifty-six thousand, seven hundred sixty-eight".