38682 has 24 divisors (see below), whose sum is σ = 96096. Its totient is φ = 11016.

The previous prime is 38677. The next prime is 38693. The reversal of 38682 is 28683.

38682 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38682.

It is an unprimeable number.

38682 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 11 ways as a sum of consecutive naturals, for example, 28 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (4004).

2³⁸⁶⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48048).

38682 is an abundant number, since it is smaller than the sum of its proper divisors (57414).

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

38682 is a wasteful number, since it uses less digits than its factorization.

38682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 319 counting only the distinct ones).

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

The square root of 38682 is about 196.6774008370. The cubic root of 38682 is about 33.8196913841.

Subtracting from 38682 its reverse (28683), we obtain a palindrome (9999).

The spelling of 38682 in words is "thirty-eight thousand, six hundred eighty-two".