338436 has 72 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 89856.

The previous prime is 338431. The next prime is 338449. The reversal of 338436 is 634833.

It is a super-2 number, since 2×338436² = 229077852192, which contains 22 as substring.

Its product of digits (5184) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338431) by changing a digit.

338436 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 23 ways as a sum of consecutive naturals, for example, 4245 + ... + 4323.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2³³⁸⁴³⁶ is an apocalyptic number.

338436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

338436 is an abundant number, since it is smaller than the sum of its proper divisors (709884).

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

338436 is a wasteful number, since it uses less digits than its factorization.

338436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 338436 is about 581.7525247044. The cubic root of 338436 is about 69.6881364605.

The spelling of 338436 in words is "three hundred thirty-eight thousand, four hundred thirty-six".