3864000000 has 560 divisors, whose sum is σ = 15344803584. Its totient is φ = 844800000.

The previous prime is 3863999987. The next prime is 3864000031. The reversal of 3864000000 is 4683.

3864000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 167999989 + ... + 168000011.

Almost surely, 2^3864000000 is an apocalyptic number.

3864000000 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 3864000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672401792).

3864000000 is an abundant number, since it is smaller than the sum of its proper divisors (11480803584).

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

3864000000 is an frugal number, since it uses more digits than its factorization.

3864000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3864000000 is about 62161.0810716802. The cubic root of 3864000000 is about 1569.2026730249.

Adding to 3864000000 its reverse (4683), we get a palindrome (3864004683).

The spelling of 3864000000 in words is "three billion, eight hundred sixty-four million", and thus it is an aban number.