10038444 has 48 divisors (see below), whose sum is σ = 25425120. Its totient is φ = 3064320.

The previous prime is 10038443. The next prime is 10038467. The reversal of 10038444 is 44483001.

It is a super-2 number, since 2×10038444² = 201540715882272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10038443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35584 + ... + 35864.

It is an arithmetic number, because the mean of its divisors is an integer number (529690).

Almost surely, 2^10038444 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 10038444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12712560).

10038444 is an abundant number, since it is smaller than the sum of its proper divisors (15386676).

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

10038444 is a wasteful number, since it uses less digits than its factorization.

10038444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 528 counting only the distinct ones).

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

The square root of 10038444 is about 3168.3503594142. The cubic root of 10038444 is about 215.7191995890.

The spelling of 10038444 in words is "ten million, thirty-eight thousand, four hundred forty-four".