34977040100 has 36 divisors (see below), whose sum is σ = 77144455668. Its totient is φ = 13761456000.

The previous prime is 34977040051. The next prime is 34977040129. The reversal of 34977040100 is 104077943.

It can be written as a sum of positive squares in 6 ways, for example, as 12884974144 + 22092065956 = 113512^2 + 148634^2 .

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, 2860871 + ... + 2873070.

Almost surely, 2^34977040100 is an apocalyptic number.

It is an amenable number.

34977040100 is an abundant number, since it is smaller than the sum of its proper divisors (42167415568).

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

34977040100 is a wasteful number, since it uses less digits than its factorization.

34977040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734016 (or 5734009 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The spelling of 34977040100 in words is "thirty-four billion, nine hundred seventy-seven million, forty thousand, one hundred".