3930232320 has 320 divisors, whose sum is σ = 15956835840. Its totient is φ = 898228224.

The previous prime is 3930232309. The next prime is 3930232343. The reversal of 3930232320 is 232320393.

It is a happy number.

3930232320 is a `hidden beast` number, since 3 + 9 + 302 + 32 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479779 + ... + 487901.

It is an arithmetic number, because the mean of its divisors is an integer number (49865112).

Almost surely, 2^3930232320 is an apocalyptic number.

3930232320 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 3930232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7978417920).

3930232320 is an abundant number, since it is smaller than the sum of its proper divisors (12026603520).

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

3930232320 is an equidigital number, since it uses as much as digits as its factorization.

3930232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3930232320 is about 62691.5649828587. The cubic root of 3930232320 is about 1578.1177607327.

The spelling of 3930232320 in words is "three billion, nine hundred thirty million, two hundred thirty-two thousand, three hundred twenty".