3999952320 has 672 divisors, whose sum is σ = 16500750336. Its totient is φ = 812851200.

The previous prime is 3999952277. The next prime is 3999952349. The reversal of 3999952320 is 232599993.

It is a tau number, because it is divible by the number of its divisors (672).

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, 18957015 + ... + 18957225.

It is an arithmetic number, because the mean of its divisors is an integer number (24554688).

Almost surely, 2^3999952320 is an apocalyptic number.

3999952320 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 3999952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8250375168).

3999952320 is an abundant number, since it is smaller than the sum of its proper divisors (12500798016).

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

3999952320 is a wasteful number, since it uses less digits than its factorization.

3999952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 51.

The square root of 3999952320 is about 63245.1762587472. The cubic root of 3999952320 is about 1587.3947446696.

The spelling of 3999952320 in words is "three billion, nine hundred ninety-nine million, nine hundred fifty-two thousand, three hundred twenty".