3884144 has 40 divisors (see below), whose sum is σ = 8503920. Its totient is φ = 1702400.

The previous prime is 3884141. The next prime is 3884159. The reversal of 3884144 is 4414883.

It is a super-2 number, since 2×3884144² = 30173149225472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3884144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3884141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4724 + ... + 5484.

It is an arithmetic number, because the mean of its divisors is an integer number (212598).

Almost surely, 2^3884144 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 3884144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251960).

3884144 is an abundant number, since it is smaller than the sum of its proper divisors (4619776).

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

3884144 is a wasteful number, since it uses less digits than its factorization.

3884144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 803 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 3884144 is about 1970.8231782684. The cubic root of 3884144 is about 157.1924830277.

The spelling of 3884144 in words is "three million, eight hundred eighty-four thousand, one hundred forty-four".