38382 has 8 divisors (see below), whose sum is σ = 76776. Its totient is φ = 12792.

The previous prime is 38377. The next prime is 38393. The reversal of 38382 is 28383.

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

38382 is an admirable number.

It is a d-powerful number, because it can be written as 3⁷ + 8² + 3⁹ + 8² + 2¹⁴ .

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38382.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3193 + ... + 3204.

It is an arithmetic number, because the mean of its divisors is an integer number (9597).

2³⁸³⁸² is an apocalyptic number.

38382 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 (38388).

38382 is a wasteful number, since it uses less digits than its factorization.

38382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402.

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

The square root of 38382 is about 195.9132461065. The cubic root of 38382 is about 33.7320343340.

Subtracting from 38382 its reverse (28383), we obtain a palindrome (9999).

It can be divided in two parts, 383 and 82, that added together give a triangular number (465 = T₃₀).

The spelling of 38382 in words is "thirty-eight thousand, three hundred eighty-two".