3872180736 has 120 divisors (see below), whose sum is σ = 11536297344. Its totient is φ = 1249044480.

The previous prime is 3872180701. The next prime is 3872180743. The reversal of 3872180736 is 6370812783.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3872180691 and 3872180700.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 129295 + ... + 156401.

Almost surely, 2^3872180736 is an apocalyptic number.

3872180736 is a gapful number since it is divisible by the number (36) 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 3872180736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768148672).

3872180736 is an abundant number, since it is smaller than the sum of its proper divisors (7664116608).

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

3872180736 is a wasteful number, since it uses less digits than its factorization.

3872180736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27162 (or 27143 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3872180736 is about 62226.8489962331. The cubic root of 3872180736 is about 1570.3093141493.

The spelling of 3872180736 in words is "three billion, eight hundred seventy-two million, one hundred eighty thousand, seven hundred thirty-six".