38268 has 18 divisors (see below), whose sum is σ = 96824. Its totient is φ = 12744.

The previous prime is 38261. The next prime is 38273. The reversal of 38268 is 86283.

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38261) by changing a digit.

38268 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 5 ways as a sum of consecutive naturals, for example, 496 + ... + 567.

2³⁸²⁶⁸ is an apocalyptic number.

It is an amenable number.

38268 is an abundant number, since it is smaller than the sum of its proper divisors (58556).

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

38268 is a wasteful number, since it uses less digits than its factorization.

38268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1068 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 38268 is about 195.6220846428. The cubic root of 38268 is about 33.6986049019.

The spelling of 38268 in words is "thirty-eight thousand, two hundred sixty-eight".