38424 has 16 divisors (see below), whose sum is σ = 96120. Its totient is φ = 12800.

The previous prime is 38393. The next prime is 38431. The reversal of 38424 is 42483.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 38424.

It is a congruent number.

It is an unprimeable number.

38424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 777 + ... + 824.

38424 is a Friedman number, since it can be written as 8+(42/3)^4, using all its digits and the basic arithmetic operations.

2³⁸⁴²⁴ is an apocalyptic number.

It is an amenable number.

38424 is an abundant number, since it is smaller than the sum of its proper divisors (57696).

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 (48060).

38424 is a wasteful number, since it uses less digits than its factorization.

38424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1606 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 38424 is about 196.0204071009. The cubic root of 38424 is about 33.7443337538.

It can be divided in two parts, 384 and 24, that multiplied together give a square (9216 = 96²).

The spelling of 38424 in words is "thirty-eight thousand, four hundred twenty-four".