3667400040400 has 60 divisors (see below), whose sum is σ = 8833579173900. Its totient is φ = 1463188848640.

The previous prime is 3667400040391. The next prime is 3667400040427. The reversal of 3667400040400 is 40400047663.

It can be written as a sum of positive squares in 6 ways, for example, as 44894829456 + 3622505210944 = 211884^2 + 1903288^2 .

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, 11629105 + ... + 11940304.

It is an arithmetic number, because the mean of its divisors is an integer number (147226319565).

Almost surely, 2^{3667400040400} is an apocalyptic number.

It is an amenable number.

3667400040400 is an abundant number, since it is smaller than the sum of its proper divisors (5166179133500).

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

3667400040400 is a wasteful number, since it uses less digits than its factorization.

3667400040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23569816 (or 23569805 counting only the distinct ones).

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

The spelling of 3667400040400 in words is "three trillion, six hundred sixty-seven billion, four hundred million, forty thousand, four hundred".