3630379406400 has 126 divisors (see below), whose sum is σ = 12903225634442. Its totient is φ = 968101171200.

The previous prime is 3630379406389. The next prime is 3630379406429. The reversal of 3630379406400 is 46049730363.

3630379406400 is a `hidden beast` number, since 3 + 630 + 3 + 7 + 9 + 4 + 0 + 6 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 899477734464 + 2730901671936 = 948408^2 + 1652544^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 126040441 + ... + 126069240.

Almost surely, 2^{3630379406400} is an apocalyptic number.

3630379406400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3630379406400 is an abundant number, since it is smaller than the sum of its proper divisors (9272846228042).

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

3630379406400 is a wasteful number, since it uses less digits than its factorization.

3630379406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252109709 (or 252109691 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 3630379406400 in words is "three trillion, six hundred thirty billion, three hundred seventy-nine million, four hundred six thousand, four hundred".