3956584320 has 768 divisors, whose sum is σ = 16217510400. Its totient is φ = 913711104.

The previous prime is 3956584297. The next prime is 3956584363. The reversal of 3956584320 is 234856593.

3956584320 is a `hidden beast` number, since 3 + 9 + 565 + 84 + 3 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38413389 + ... + 38413491.

It is an arithmetic number, because the mean of its divisors is an integer number (21116550).

Almost surely, 2^3956584320 is an apocalyptic number.

3956584320 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 3956584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108755200).

3956584320 is an abundant number, since it is smaller than the sum of its proper divisors (12260926080).

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

3956584320 is a wasteful number, since it uses less digits than its factorization.

3956584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3956584320 is about 62901.3856763108. The cubic root of 3956584320 is about 1581.6369724318.

The spelling of 3956584320 in words is "three billion, nine hundred fifty-six million, five hundred eighty-four thousand, three hundred twenty".