3676400406 has 64 divisors (see below), whose sum is σ = 9455155200. Its totient is φ = 1037095488.

The previous prime is 3676400393. The next prime is 3676400411. The reversal of 3676400406 is 6040046763.

3676400406 is a `hidden beast` number, since 3 + 6 + 7 + 640 + 0 + 4 + 0 + 6 = 666.

3676400406 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 31 ways as a sum of consecutive naturals, for example, 31695 + ... + 91418.

It is an arithmetic number, because the mean of its divisors is an integer number (147736800).

Almost surely, 2^3676400406 is an apocalyptic number.

3676400406 is an abundant number, since it is smaller than the sum of its proper divisors (5778754794).

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

3676400406 is a wasteful number, since it uses less digits than its factorization.

3676400406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123210 (or 123204 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3676400406 is about 60633.3275187829. The cubic root of 3676400406 is about 1543.3849765207.

The spelling of 3676400406 in words is "three billion, six hundred seventy-six million, four hundred thousand, four hundred six".