42384 has 20 divisors (see below), whose sum is σ = 109616. Its totient is φ = 14112.

The previous prime is 42379. The next prime is 42391. The reversal of 42384 is 48324.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42384.

It is an unprimeable number.

42384 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 3 ways as a sum of consecutive naturals, for example, 394 + ... + 489.

2⁴²³⁸⁴ is an apocalyptic number.

It is an amenable number.

42384 is an abundant number, since it is smaller than the sum of its proper divisors (67232).

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 (54808).

42384 is a wasteful number, since it uses less digits than its factorization.

42384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 42384 is about 205.8737477193. The cubic root of 42384 is about 34.8658812762.

Subtracting from 42384 its product of digits (768), we obtain a triangular number (41616 = T₂₈₈).

The spelling of 42384 in words is "forty-two thousand, three hundred eighty-four".