4009712634 has 48 divisors (see below), whose sum is σ = 8846833320. Its totient is φ = 1312174080.

The previous prime is 4009712617. The next prime is 4009712657. The reversal of 4009712634 is 4362179004.

4009712634 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 7 + 12 + 634 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3843380025 + 166332609 = 61995^2 + 12897^2 .

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, 630382 + ... + 636710.

Almost surely, 2^4009712634 is an apocalyptic number.

4009712634 is an abundant number, since it is smaller than the sum of its proper divisors (4837120686).

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

4009712634 is a wasteful number, since it uses less digits than its factorization.

4009712634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6975 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4009712634 is about 63322.2917620643. The cubic root of 4009712634 is about 1588.6848339053.

The spelling of 4009712634 in words is "four billion, nine million, seven hundred twelve thousand, six hundred thirty-four".