3672515911680 has 2688 divisors, whose sum is σ = 17007976062720. Its totient is φ = 743178240000.

The previous prime is 3672515911657. The next prime is 3672515911681. The reversal of 3672515911680 is 861195152763.

3672515911680 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 515 + 9 + 116 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672515911681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36361543630 + ... + 36361543730.

Almost surely, 2^{3672515911680} is an apocalyptic number.

3672515911680 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 3672515911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503988031360).

3672515911680 is an abundant number, since it is smaller than the sum of its proper divisors (13335460151040).

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

3672515911680 is a wasteful number, since it uses less digits than its factorization.

3672515911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 3672515911680 in words is "three trillion, six hundred seventy-two billion, five hundred fifteen million, nine hundred eleven thousand, six hundred eighty".