38324 has 24 divisors (see below), whose sum is σ = 79968. Its totient is φ = 15840.

The previous prime is 38321. The next prime is 38327. The reversal of 38324 is 42383.

38324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38321) and next prime (38327).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁶ + 8⁵ + 3⁶ + 2 + 4⁶ .

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 38296 and 38305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38321) 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, 539 + ... + 605.

It is an arithmetic number, because the mean of its divisors is an integer number (3332).

2³⁸³²⁴ is an apocalyptic number.

It is an amenable number.

38324 is an abundant number, since it is smaller than the sum of its proper divisors (41644).

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 (39984).

38324 is a wasteful number, since it uses less digits than its factorization.

38324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 38324 is about 195.7651654406. The cubic root of 38324 is about 33.7150346614.

The spelling of 38324 in words is "thirty-eight thousand, three hundred twenty-four".