3872616624 has 120 divisors (see below), whose sum is σ = 11129725152. Its totient is φ = 1256279040.

The previous prime is 3872616619. The next prime is 3872616641. The reversal of 3872616624 is 4266162783.

3872616624 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 6 + 16 + 624 = 666.

3872616624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3872616624.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4705077 + ... + 4705899.

Almost surely, 2^3872616624 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 3872616624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564862576).

3872616624 is an abundant number, since it is smaller than the sum of its proper divisors (7257108528).

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

3872616624 is a wasteful number, since it uses less digits than its factorization.

3872616624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1666 counting only the distinct ones).

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

The square root of 3872616624 is about 62230.3513086661. The cubic root of 3872616624 is about 1570.3682347207.

The spelling of 3872616624 in words is "three billion, eight hundred seventy-two million, six hundred sixteen thousand, six hundred twenty-four".