3840144 has 80 divisors (see below), whose sum is σ = 12380160. Its totient is φ = 996480.

The previous prime is 3840139. The next prime is 3840157. The reversal of 3840144 is 4410483.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3177 + ... + 4215.

It is an arithmetic number, because the mean of its divisors is an integer number (154752).

Almost surely, 2^3840144 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 3840144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190080).

3840144 is an abundant number, since it is smaller than the sum of its proper divisors (8540016).

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

3840144 is a wasteful number, since it uses less digits than its factorization.

3840144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3840144 is about 1959.6285362282. The cubic root of 3840144 is about 156.5966630561.

The spelling of 3840144 in words is "three million, eight hundred forty thousand, one hundred forty-four".