38376 has 48 divisors (see below), whose sum is σ = 114660. Its totient is φ = 11520.

The previous prime is 38371. The next prime is 38377. The reversal of 38376 is 67383.

It is a happy number.

38376 is nontrivially palindromic in base 7.

38376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 8100 = 174^2 + 90^2 .

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 38376.

It is not an unprimeable number, because it can be changed into a prime (38371) by changing a digit.

38376 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, 916 + ... + 956.

2³⁸³⁷⁶ is an apocalyptic number.

38376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57330).

38376 is an abundant number, since it is smaller than the sum of its proper divisors (76284).

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

38376 is a wasteful number, since it uses less digits than its factorization.

38376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 59 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 38376 is about 195.8979326078. The cubic root of 38376 is about 33.7302765417.

It can be divided in two parts, 38 and 376, that added together give a palindrome (414).

The spelling of 38376 in words is "thirty-eight thousand, three hundred seventy-six".