3676404004000 has 192 divisors, whose sum is σ = 11117446808832. Its totient is φ = 1163521152000.

The previous prime is 3676404003967. The next prime is 3676404004033. The reversal of 3676404004000 is 4004046763.

3676404004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3676404003967) and next prime (3676404004033).

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, 4686006 + ... + 5414005.

It is an arithmetic number, because the mean of its divisors is an integer number (57903368796).

Almost surely, 2^{3676404004000} is an apocalyptic number.

It is an amenable number.

3676404004000 is an abundant number, since it is smaller than the sum of its proper divisors (7441042804832).

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

3676404004000 is a wasteful number, since it uses less digits than its factorization.

3676404004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100056 (or 10100038 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The spelling of 3676404004000 in words is "three trillion, six hundred seventy-six billion, four hundred four million, four thousand".