3864144 has 60 divisors (see below), whose sum is σ = 10582656. Its totient is φ = 1214784.

The previous prime is 3864139. The next prime is 3864187. The reversal of 3864144 is 4414683.

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

It is a congruent number.

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, 17217 + ... + 17439.

Almost surely, 2^3864144 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 3864144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291328).

3864144 is an abundant number, since it is smaller than the sum of its proper divisors (6718512).

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

3864144 is a wasteful number, since it uses less digits than its factorization.

3864144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 247 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 3864144 is about 1965.7426077694. The cubic root of 3864144 is about 156.9222165984.

The spelling of 3864144 in words is "three million, eight hundred sixty-four thousand, one hundred forty-four".