38444 has 12 divisors (see below), whose sum is σ = 76944. Its totient is φ = 16464.

The previous prime is 38431. The next prime is 38447. The reversal of 38444 is 44483.

38444 = T₆₇ + T₆₈ + ... + T₈₀.

38444 is an admirable number.

It is a super-2 number, since 2×38444² = 2955882272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 659 + ... + 714.

It is an arithmetic number, because the mean of its divisors is an integer number (6412).

2³⁸⁴⁴⁴ is an apocalyptic number.

It is an amenable number.

38444 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38472).

38444 is a wasteful number, since it uses less digits than its factorization.

38444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1382 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 38444 is about 196.0714155608. The cubic root of 38444 is about 33.7501874704.

It can be divided in two parts, 3844 and 4, that multiplied together give a square (15376 = 124²).

The spelling of 38444 in words is "thirty-eight thousand, four hundred forty-four".