42738 has 16 divisors (see below), whose sum is σ = 90720. Its totient is φ = 13376.

The previous prime is 42737. The next prime is 42743. The reversal of 42738 is 83724.

It is a super-4 number, since 4×42738⁴ = 13344944447499130944, which contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (42737) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108 + ... + 311.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2⁴²⁷³⁸ is an apocalyptic number.

42738 is an abundant number, since it is smaller than the sum of its proper divisors (47982).

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 (45360).

42738 is a wasteful number, since it uses less digits than its factorization.

42738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441.

The product of its digits is 1344, while the sum is 24.

The square root of 42738 is about 206.7317101946. The cubic root of 42738 is about 34.9626813116.

It can be divided in two parts, 427 and 38, that added together give a triangular number (465 = T₃₀).

The spelling of 42738 in words is "forty-two thousand, seven hundred thirty-eight".