4038944 has 96 divisors (see below), whose sum is σ = 10442880. Its totient is φ = 1492992.

The previous prime is 4038907. The next prime is 4038949. The reversal of 4038944 is 4498304.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4038944.

It is not an unprimeable number, because it can be changed into a prime (4038949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55292 + ... + 55364.

It is an arithmetic number, because the mean of its divisors is an integer number (108780).

Almost surely, 2^4038944 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 4038944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5221440).

4038944 is an abundant number, since it is smaller than the sum of its proper divisors (6403936).

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

4038944 is a wasteful number, since it uses less digits than its factorization.

4038944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 4038944 is about 2009.7124172378. The cubic root of 4038944 is about 159.2536068556.

The spelling of 4038944 in words is "four million, thirty-eight thousand, nine hundred forty-four".