3716359920 has 960 divisors, whose sum is σ = 16695181440. Its totient is φ = 752467968.

The previous prime is 3716359901. The next prime is 3716359931. The reversal of 3716359920 is 299536173.

3716359920 is a `hidden beast` number, since 3 + 7 + 1 + 635 + 9 + 9 + 2 + 0 = 666.

3716359920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3716359920² = 27622662109964812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50909004 + ... + 50909076.

It is an arithmetic number, because the mean of its divisors is an integer number (17390814).

Almost surely, 2^3716359920 is an apocalyptic number.

3716359920 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 3716359920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347590720).

3716359920 is an abundant number, since it is smaller than the sum of its proper divisors (12978821520).

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

3716359920 is a wasteful number, since it uses less digits than its factorization.

3716359920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 3716359920 is about 60961.9546930707. The cubic root of 3716359920 is about 1548.9566228205.

The spelling of 3716359920 in words is "three billion, seven hundred sixteen million, three hundred fifty-nine thousand, nine hundred twenty".