3684638361600 has 432 divisors, whose sum is σ = 15081122871360. Its totient is φ = 842202316800.

The previous prime is 3684638361557. The next prime is 3684638361611. The reversal of 3684638361600 is 61638364863.

3684638361600 is a `hidden beast` number, since 3 + 68 + 46 + 383 + 6 + 160 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2654445 + ... + 3796755.

Almost surely, 2^{3684638361600} is an apocalyptic number.

3684638361600 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 3684638361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540561435680).

3684638361600 is an abundant number, since it is smaller than the sum of its proper divisors (11396484509760).

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

3684638361600 is a wasteful number, since it uses less digits than its factorization.

3684638361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142356 (or 1142328 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 3684638361600 in words is "three trillion, six hundred eighty-four billion, six hundred thirty-eight million, three hundred sixty-one thousand, six hundred".