38338 has 8 divisors (see below), whose sum is σ = 59580. Its totient is φ = 18480.

The previous prime is 38333. The next prime is 38351. The reversal of 38338 is 83383.

It can be written as a sum of positive squares in 2 ways, for example, as 37249 + 1089 = 193^2 + 33^2 .

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

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38338.

It is not an unprimeable number, because it can be changed into a prime (38333) by changing a digit.

38338 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 273 + ... + 388.

2³⁸³³⁸ is an apocalyptic number.

38338 is a deficient number, since it is larger than the sum of its proper divisors (21242).

38338 is a wasteful number, since it uses less digits than its factorization.

38338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692.

The product of its digits is 1728, while the sum is 25.

The square root of 38338 is about 195.8009193033. The cubic root of 38338 is about 33.7191396002.

The spelling of 38338 in words is "thirty-eight thousand, three hundred thirty-eight".