3888144 has 120 divisors (see below), whose sum is σ = 12276992. Its totient is φ = 1140480.

The previous prime is 3888107. The next prime is 3888149. The reversal of 3888144 is 4418883.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 3888099 and 3888108.

It is not an unprimeable number, because it can be changed into a prime (3888149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57999 + ... + 58065.

Almost surely, 2^3888144 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 3888144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138496).

3888144 is an abundant number, since it is smaller than the sum of its proper divisors (8388848).

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

3888144 is a wasteful number, since it uses less digits than its factorization.

3888144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 3888144 is about 1971.8377215177. The cubic root of 3888144 is about 157.2464249185.

The spelling of 3888144 in words is "three million, eight hundred eighty-eight thousand, one hundred forty-four".