3864281120 has 72 divisors (see below), whose sum is σ = 10619894124. Its totient is φ = 1324893696.

The previous prime is 3864281111. The next prime is 3864281143. The reversal of 3864281120 is 211824683.

It can be written as a sum of positive squares in 2 ways, for example, as 3818745616 + 45535504 = 61796^2 + 6748^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238607 + ... + 254286.

Almost surely, 2^3864281120 is an apocalyptic number.

It is an amenable number.

3864281120 is an abundant number, since it is smaller than the sum of its proper divisors (6755613004).

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

3864281120 is a wasteful number, since it uses less digits than its factorization.

3864281120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492922 (or 492907 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 3864281120 is about 62163.3422524883. The cubic root of 3864281120 is about 1569.2407271620.

The spelling of 3864281120 in words is "three billion, eight hundred sixty-four million, two hundred eighty-one thousand, one hundred twenty".