38544 has 40 divisors (see below), whose sum is σ = 110112. Its totient is φ = 11520.

The previous prime is 38543. The next prime is 38557. The reversal of 38544 is 44583.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (38543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492 + ... + 564.

2³⁸⁵⁴⁴ 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 38544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55056).

38544 is an abundant number, since it is smaller than the sum of its proper divisors (71568).

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

38544 is a wasteful number, since it uses less digits than its factorization.

38544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 89 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 38544 is about 196.3262590689. The cubic root of 38544 is about 33.7794256403.

The spelling of 38544 in words is "thirty-eight thousand, five hundred forty-four".