3864208032 has 120 divisors (see below), whose sum is σ = 11731370112. Its totient is φ = 1246492800.

The previous prime is 3864208027. The next prime is 3864208123. The reversal of 3864208032 is 2308024683.

3864208032 is a `hidden beast` number, since 3 + 8 + 642 + 0 + 8 + 0 + 3 + 2 = 666.

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

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 19 ways as a sum of consecutive naturals, for example, 56307 + ... + 104397.

Almost surely, 2^3864208032 is an apocalyptic number.

3864208032 is a gapful number since it is divisible by the number (32) 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 3864208032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865685056).

3864208032 is an abundant number, since it is smaller than the sum of its proper divisors (7867162080).

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

3864208032 is a wasteful number, since it uses less digits than its factorization.

3864208032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48144 (or 48127 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3864208032 is about 62162.7543791296. The cubic root of 3864208032 is about 1569.2308336971.

The spelling of 3864208032 in words is "three billion, eight hundred sixty-four million, two hundred eight thousand, thirty-two".