338742 has 48 divisors (see below), whose sum is σ = 825552. Its totient is φ = 103680.

The previous prime is 338731. The next prime is 338747. The reversal of 338742 is 247833.

It is a super-2 number, since 2×338742² = 229492285128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4032) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8242 + ... + 8282.

It is an arithmetic number, because the mean of its divisors is an integer number (17199).

2³³⁸⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412776).

338742 is an abundant number, since it is smaller than the sum of its proper divisors (486810).

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

338742 is a wasteful number, since it uses less digits than its factorization.

338742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 338742 is about 582.0154637121. The cubic root of 338742 is about 69.7091331886.

Subtracting from 338742 its reverse (247833), we obtain a palindrome (90909).

The spelling of 338742 in words is "three hundred thirty-eight thousand, seven hundred forty-two".