34688855664 has 120 divisors (see below), whose sum is σ = 102886636560. Its totient is φ = 11189819520.

The previous prime is 34688855653. The next prime is 34688855687. The reversal of 34688855664 is 46655888643.

It is a happy number.

34688855664 is a `hidden beast` number, since 3 + 4 + 68 + 8 + 8 + 5 + 566 + 4 = 666.

34688855664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373374 + ... + 456930.

It is an arithmetic number, because the mean of its divisors is an integer number (857388638).

Almost surely, 2^34688855664 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 34688855664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51443318280).

34688855664 is an abundant number, since it is smaller than the sum of its proper divisors (68197780896).

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

34688855664 is a wasteful number, since it uses less digits than its factorization.

34688855664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83636 (or 83593 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 34688855664 in words is "thirty-four billion, six hundred eighty-eight million, eight hundred fifty-five thousand, six hundred sixty-four".