38838 has 8 divisors (see below), whose sum is σ = 77688. Its totient is φ = 12944.

The previous prime is 38833. The next prime is 38839. The reversal of 38838 is 83883.

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

38838 is an admirable number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38833) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3231 + ... + 3242.

It is an arithmetic number, because the mean of its divisors is an integer number (9711).

2³⁸⁸³⁸ is an apocalyptic number.

38838 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 (38844).

38838 is a wasteful number, since it uses less digits than its factorization.

38838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478.

The product of its digits is 4608, while the sum is 30.

The square root of 38838 is about 197.0735903159. The cubic root of 38838 is about 33.8650940294.

The spelling of 38838 in words is "thirty-eight thousand, eight hundred thirty-eight".