34971466656 has 96 divisors (see below), whose sum is σ = 104956024320. Its totient is φ = 9987883776.

The previous prime is 34971466631. The next prime is 34971466679. The reversal of 34971466656 is 65666417943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34971466596 and 34971466605.

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, 1966155 + ... + 1983861.

It is an arithmetic number, because the mean of its divisors is an integer number (1093291920).

Almost surely, 2^34971466656 is an apocalyptic number.

It is an amenable number.

34971466656 is an abundant number, since it is smaller than the sum of its proper divisors (69984557664).

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

34971466656 is a wasteful number, since it uses less digits than its factorization.

34971466656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20666 (or 20658 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 57.

The spelling of 34971466656 in words is "thirty-four billion, nine hundred seventy-one million, four hundred sixty-six thousand, six hundred fifty-six".