38238 has 8 divisors (see below), whose sum is σ = 76488. Its totient is φ = 12744.

The previous prime is 38237. The next prime is 38239. The reversal of 38238 is 83283.

It is an interprime number because it is at equal distance from previous prime (38237) and next prime (38239).

It is a sphenic number, since it is the product of 3 distinct primes.

38238 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38231) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3181 + ... + 3192.

It is an arithmetic number, because the mean of its divisors is an integer number (9561).

2³⁸²³⁸ is an apocalyptic number.

38238 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 (38244).

38238 is a wasteful number, since it uses less digits than its factorization.

38238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6378.

The product of its digits is 1152, while the sum is 24.

The square root of 38238 is about 195.5453911500. The cubic root of 38238 is about 33.6897966510.

It can be divided in two parts, 38 and 238, that added together give a triangular number (276 = T₂₃).

The spelling of 38238 in words is "thirty-eight thousand, two hundred thirty-eight".