34879922560 has 128 divisors (see below), whose sum is σ = 95938344000. Its totient is φ = 11878342656.

The previous prime is 34879922537. The next prime is 34879922599. The reversal of 34879922560 is 6522997843.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 641394 + ... + 693646.

Almost surely, 2^34879922560 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 34879922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47969172000).

34879922560 is an abundant number, since it is smaller than the sum of its proper divisors (61058421440).

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

34879922560 is a wasteful number, since it uses less digits than its factorization.

34879922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52428 (or 52416 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 34879922560 in words is "thirty-four billion, eight hundred seventy-nine million, nine hundred twenty-two thousand, five hundred sixty".