34690858944 has 112 divisors (see below), whose sum is σ = 105094649856. Its totient is φ = 9893145600.

The previous prime is 34690858933. The next prime is 34690858957. The reversal of 34690858944 is 44985809643.

34690858944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703249 + ... + 750959.

It is an arithmetic number, because the mean of its divisors is an integer number (938345088).

Almost surely, 2^34690858944 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 34690858944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52547324928).

34690858944 is an abundant number, since it is smaller than the sum of its proper divisors (70403790912).

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

34690858944 is a wasteful number, since it uses less digits than its factorization.

34690858944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48274 (or 48264 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 60.

The spelling of 34690858944 in words is "thirty-four billion, six hundred ninety million, eight hundred fifty-eight thousand, nine hundred forty-four".