3990620160 has 576 divisors, whose sum is σ = 15178363200. Its totient is φ = 966131712.

The previous prime is 3990620149. The next prime is 3990620177. The reversal of 3990620160 is 610260993.

3990620160 is a `hidden beast` number, since 399 + 0 + 6 + 201 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3990620160² = 31850098522796851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75294694 + ... + 75294746.

It is an arithmetic number, because the mean of its divisors is an integer number (26351325).

Almost surely, 2^3990620160 is an apocalyptic number.

3990620160 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 3990620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589181600).

3990620160 is an abundant number, since it is smaller than the sum of its proper divisors (11187743040).

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

3990620160 is a wasteful number, since it uses less digits than its factorization.

3990620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3990620160 is about 63171.3555339760. The cubic root of 3990620160 is about 1586.1592835057.

The spelling of 3990620160 in words is "three billion, nine hundred ninety million, six hundred twenty thousand, one hundred sixty".