38042 has 8 divisors (see below), whose sum is σ = 59616. Its totient is φ = 18172.

The previous prime is 38039. The next prime is 38047. The reversal of 38042 is 24083.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38042.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38042.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 368 + ... + 459.

It is an arithmetic number, because the mean of its divisors is an integer number (7452).

2³⁸⁰⁴² is an apocalyptic number.

38042 is a deficient number, since it is larger than the sum of its proper divisors (21574).

38042 is a wasteful number, since it uses less digits than its factorization.

38042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 38042 is about 195.0435848727. The cubic root of 38042 is about 33.6321357326.

Subtracting from 38042 its sum of digits (17), we obtain a square (38025 = 195²).

The spelling of 38042 in words is "thirty-eight thousand, forty-two".