3682270368000 has 1728 divisors, whose sum is σ = 15975392509440. Its totient is φ = 827117568000.

The previous prime is 3682270367989. The next prime is 3682270368059. The reversal of 3682270368000 is 8630722863.

3682270368000 is a `hidden beast` number, since 3 + 68 + 227 + 0 + 368 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3320351446 + ... + 3320352554.

Almost surely, 2^{3682270368000} is an apocalyptic number.

3682270368000 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 3682270368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987696254720).

3682270368000 is an abundant number, since it is smaller than the sum of its proper divisors (12293122141440).

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

3682270368000 is an equidigital number, since it uses as much as digits as its factorization.

3682270368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3682270368000 in words is "three trillion, six hundred eighty-two billion, two hundred seventy million, three hundred sixty-eight thousand".