38046 has 16 divisors (see below), whose sum is σ = 80784. Its totient is φ = 11904.

The previous prime is 38039. The next prime is 38047. The reversal of 38046 is 64083.

38046 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 plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38047) by changing a digit.

38046 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 7 ways as a sum of consecutive naturals, for example, 85 + ... + 288.

It is an arithmetic number, because the mean of its divisors is an integer number (5049).

2³⁸⁰⁴⁶ is an apocalyptic number.

38046 is an abundant number, since it is smaller than the sum of its proper divisors (42738).

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 (40392).

38046 is a wasteful number, since it uses less digits than its factorization.

38046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 38046 is about 195.0538387215. The cubic root of 38046 is about 33.6333144634.

Subtracting from 38046 its sum of digits (21), we obtain a square (38025 = 195²).

The spelling of 38046 in words is "thirty-eight thousand, forty-six".