3864288384 has 320 divisors, whose sum is σ = 12962062080. Its totient is φ = 1132185600.

The previous prime is 3864288349. The next prime is 3864288391. The reversal of 3864288384 is 4838824683.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3864288384.

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 39 ways as a sum of consecutive naturals, for example, 3534942 + ... + 3536034.

It is an arithmetic number, because the mean of its divisors is an integer number (40506444).

Almost surely, 2^3864288384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3864288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481031040).

3864288384 is an abundant number, since it is smaller than the sum of its proper divisors (9097773696).

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

3864288384 is a wasteful number, since it uses less digits than its factorization.

3864288384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1140 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 3864288384 is about 62163.4006791778. The cubic root of 3864288384 is about 1569.2417104374.

The spelling of 3864288384 in words is "three billion, eight hundred sixty-four million, two hundred eighty-eight thousand, three hundred eighty-four".