3968832000 has 320 divisors, whose sum is σ = 15085534464. Its totient is φ = 906854400.

The previous prime is 3968831969. The next prime is 3968832011. The reversal of 3968832000 is 2388693.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3968832000.

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 31 ways as a sum of consecutive naturals, for example, 1342524 + ... + 1345476.

Almost surely, 2^3968832000 is an apocalyptic number.

3968832000 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 3968832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542767232).

3968832000 is an abundant number, since it is smaller than the sum of its proper divisors (11116702464).

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

3968832000 is an equidigital number, since it uses as much as digits as its factorization.

3968832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2970 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3968832000 is about 62998.6666525570. Note that the first 4 decimals coincide. The cubic root of 3968832000 is about 1583.2672868726.

The spelling of 3968832000 in words is "three billion, nine hundred sixty-eight million, eight hundred thirty-two thousand".