3687974200080 has 280 divisors, whose sum is σ = 13270642886400. Its totient is φ = 951734810880.

The previous prime is 3687974200069. The next prime is 3687974200199. The reversal of 3687974200080 is 800024797863.

3687974200080 is a `hidden beast` number, since 368 + 7 + 9 + 74 + 200 + 0 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 55 ways as a sum of consecutive naturals, for example, 787971 + ... + 2827869.

Almost surely, 2^{3687974200080} is an apocalyptic number.

3687974200080 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 3687974200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6635321443200).

3687974200080 is an abundant number, since it is smaller than the sum of its proper divisors (9582668686320).

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

3687974200080 is a wasteful number, since it uses less digits than its factorization.

3687974200080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039961 (or 2039940 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3687974200080 in words is "three trillion, six hundred eighty-seven billion, nine hundred seventy-four million, two hundred thousand, eighty".