3688216182000 has 1440 divisors, whose sum is σ = 15274724122944. Its totient is φ = 826914816000.

The previous prime is 3688216181987. The next prime is 3688216182011. The reversal of 3688216182000 is 2816128863.

3688216182000 is a `hidden beast` number, since 3 + 6 + 8 + 8 + 2 + 1 + 618 + 20 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15829253884 + ... + 15829254116.

Almost surely, 2^{3688216182000} is an apocalyptic number.

3688216182000 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 3688216182000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7637362061472).

3688216182000 is an abundant number, since it is smaller than the sum of its proper divisors (11586507940944).

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

3688216182000 is a wasteful number, since it uses less digits than its factorization.

3688216182000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 3688216182000 in words is "three trillion, six hundred eighty-eight billion, two hundred sixteen million, one hundred eighty-two thousand".