3687720566400 has 2688 divisors, whose sum is σ = 16303783991040. Its totient is φ = 814576435200.

The previous prime is 3687720566363. The next prime is 3687720566443. The reversal of 3687720566400 is 46650277863.

3687720566400 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 72 + 0 + 566 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 11857622245 + ... + 11857622555.

It is an arithmetic number, because the mean of its divisors is an integer number (6065395830).

Almost surely, 2^{3687720566400} is an apocalyptic number.

3687720566400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3687720566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151891995520).

3687720566400 is an abundant number, since it is smaller than the sum of its proper divisors (12616063424640).

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

3687720566400 is a wasteful number, since it uses less digits than its factorization.

3687720566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3687720566400 in words is "three trillion, six hundred eighty-seven billion, seven hundred twenty million, five hundred sixty-six thousand, four hundred".