3808032000 has 144 divisors (see below), whose sum is σ = 12648697152. Its totient is φ = 1015449600.

The previous prime is 3808031999. The next prime is 3808032037. The reversal of 3808032000 is 2308083.

3808032000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3808032000² = 29002215426048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76167 + ... + 115833.

Almost surely, 2^3808032000 is an apocalyptic number.

3808032000 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 3808032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6324348576).

3808032000 is an abundant number, since it is smaller than the sum of its proper divisors (8840665152).

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

3808032000 is an equidigital number, since it uses as much as digits as its factorization.

3808032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39701 (or 39677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3808032000 is about 61709.2537631108. The cubic root of 3808032000 is about 1561.5894385315.

The spelling of 3808032000 in words is "three billion, eight hundred eight million, thirty-two thousand".