3864931200 has 960 divisors, whose sum is σ = 16283541120. Its totient is φ = 895795200.

The previous prime is 3864931157. The next prime is 3864931211. The reversal of 3864931200 is 21394683.

3864931200 is a `hidden beast` number, since 3 + 8 + 649 + 3 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104457582 + ... + 104457618.

It is an arithmetic number, because the mean of its divisors is an integer number (16962022).

Almost surely, 2^3864931200 is an apocalyptic number.

3864931200 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 3864931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8141770560).

3864931200 is an abundant number, since it is smaller than the sum of its proper divisors (12418609920).

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

3864931200 is a wasteful number, since it uses less digits than its factorization.

3864931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3864931200 is about 62168.5708376829. The cubic root of 3864931200 is about 1569.3287189325.

The spelling of 3864931200 in words is "three billion, eight hundred sixty-four million, nine hundred thirty-one thousand, two hundred".