3684695884800 has 1056 divisors, whose sum is σ = 14319554323200. Its totient is φ = 835249766400.

The previous prime is 3684695884799. The next prime is 3684695884841. The reversal of 3684695884800 is 84885964863.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3608908290 + ... + 3608909310.

Almost surely, 2^{3684695884800} is an apocalyptic number.

3684695884800 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 3684695884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159777161600).

3684695884800 is an abundant number, since it is smaller than the sum of its proper divisors (10634858438400).

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

3684695884800 is a wasteful number, since it uses less digits than its factorization.

3684695884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 69.

The spelling of 3684695884800 in words is "three trillion, six hundred eighty-four billion, six hundred ninety-five million, eight hundred eighty-four thousand, eight hundred".