3986032320 has 168 divisors, whose sum is σ = 13865230080. Its totient is φ = 1050931200.

The previous prime is 3986032307. The next prime is 3986032331. The reversal of 3986032320 is 232306893.

3986032320 is a `hidden beast` number, since 3 + 9 + 8 + 603 + 23 + 20 = 666.

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 23 ways as a sum of consecutive naturals, for example, 248545 + ... + 264095.

Almost surely, 2^3986032320 is an apocalyptic number.

3986032320 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 3986032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932615040).

3986032320 is an abundant number, since it is smaller than the sum of its proper divisors (9879197760).

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

3986032320 is a wasteful number, since it uses less digits than its factorization.

3986032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15663 (or 15650 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3986032320 is about 63135.0324304977. The cubic root of 3986032320 is about 1585.5512046277.

The spelling of 3986032320 in words is "three billion, nine hundred eighty-six million, thirty-two thousand, three hundred twenty".