3967888320 has 336 divisors, whose sum is σ = 14977872000. Its totient is φ = 956160000.

The previous prime is 3967888291. The next prime is 3967888343. The reversal of 3967888320 is 238887693.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7951431 + ... + 7951929.

It is an arithmetic number, because the mean of its divisors is an integer number (44577000).

Almost surely, 2^3967888320 is an apocalyptic number.

3967888320 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 3967888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488936000).

3967888320 is an abundant number, since it is smaller than the sum of its proper divisors (11009983680).

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

3967888320 is a wasteful number, since it uses less digits than its factorization.

3967888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3967888320 is about 62991.1765249705. The cubic root of 3967888320 is about 1583.1417909998.

The spelling of 3967888320 in words is "three billion, nine hundred sixty-seven million, eight hundred eighty-eight thousand, three hundred twenty".