3864192000 has 352 divisors, whose sum is σ = 13335304320. Its totient is φ = 992051200.

The previous prime is 3864191993. The next prime is 3864192037. The reversal of 3864192000 is 2914683.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11135827 + ... + 11136173.

Almost surely, 2^3864192000 is an apocalyptic number.

3864192000 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 3864192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667652160).

3864192000 is an abundant number, since it is smaller than the sum of its proper divisors (9471112320).

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

3864192000 is a wasteful number, since it uses less digits than its factorization.

3864192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3864192000 is about 62162.6254271809. The cubic root of 3864192000 is about 1569.2286635290.

The spelling of 3864192000 in words is "three billion, eight hundred sixty-four million, one hundred ninety-two thousand".