3681513472000 has 1536 divisors, whose sum is σ = 12335381472960. Its totient is φ = 1083388723200.

The previous prime is 3681513471989. The next prime is 3681513472019. The reversal of 3681513472000 is 2743151863.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44355583959 + ... + 44355584041.

Almost surely, 2^{3681513472000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3681513472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6167690736480).

3681513472000 is an abundant number, since it is smaller than the sum of its proper divisors (8653868000960).

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

3681513472000 is an equidigital number, since it uses as much as digits as its factorization.

3681513472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 3681513472000 in words is "three trillion, six hundred eighty-one billion, five hundred thirteen million, four hundred seventy-two thousand".