38334 has 8 divisors (see below), whose sum is σ = 76680. Its totient is φ = 12776.

The previous prime is 38333. The next prime is 38351. The reversal of 38334 is 43383.

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

38334 is an admirable number.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 38334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38333) 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, 3189 + ... + 3200.

It is an arithmetic number, because the mean of its divisors is an integer number (9585).

2³⁸³³⁴ is an apocalyptic number.

38334 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 (38340).

38334 is a wasteful number, since it uses less digits than its factorization.

38334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394.

The product of its digits is 864, while the sum is 21.

The square root of 38334 is about 195.7907045802. The cubic root of 38334 is about 33.7179668625.

The spelling of 38334 in words is "thirty-eight thousand, three hundred thirty-four".