3720117888 has 256 divisors, whose sum is σ = 12135225600. Its totient is φ = 1115947008.

The previous prime is 3720117857. The next prime is 3720117913. The reversal of 3720117888 is 8887110273.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349920 + ... + 1352672.

It is an arithmetic number, because the mean of its divisors is an integer number (47403225).

Almost surely, 2^3720117888 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 3720117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6067612800).

3720117888 is an abundant number, since it is smaller than the sum of its proper divisors (8415107712).

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

3720117888 is a wasteful number, since it uses less digits than its factorization.

3720117888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 3720117888 is about 60992.7691452028. The cubic root of 3720117888 is about 1549.4785464784.

The spelling of 3720117888 in words is "three billion, seven hundred twenty million, one hundred seventeen thousand, eight hundred eighty-eight".