38346 has 32 divisors (see below), whose sum is σ = 96768. Its totient is φ = 9840.

The previous prime is 38333. The next prime is 38351. The reversal of 38346 is 64383.

38346 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

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 38346.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2³⁸³⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

38346 is an abundant number, since it is smaller than the sum of its proper divisors (58422).

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

38346 is a wasteful number, since it uses less digits than its factorization.

38346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106.

The product of its digits is 1728, while the sum is 24.

The square root of 38346 is about 195.8213471509. The cubic root of 38346 is about 33.7214848308.

The spelling of 38346 in words is "thirty-eight thousand, three hundred forty-six".