34735553856 has 84 divisors (see below), whose sum is σ = 103892067552. Its totient is φ = 11075099904.

The previous prime is 34735553759. The next prime is 34735553873. The reversal of 34735553856 is 65835553743.

34735553856 is a `hidden beast` number, since 3 + 4 + 7 + 3 + 5 + 553 + 85 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1297726 + ... + 1324221.

It is an arithmetic number, because the mean of its divisors is an integer number (1236810328).

Almost surely, 2^34735553856 is an apocalyptic number.

34735553856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34735553856 is an abundant number, since it is smaller than the sum of its proper divisors (69156513696).

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

34735553856 is a wasteful number, since it uses less digits than its factorization.

34735553856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621988 (or 2621975 counting only the distinct ones).

The product of its digits is 22680000, while the sum is 54.

The spelling of 34735553856 in words is "thirty-four billion, seven hundred thirty-five million, five hundred fifty-three thousand, eight hundred fifty-six".