338844 has 48 divisors (see below), whose sum is σ = 919296. Its totient is φ = 96000.

The previous prime is 338839. The next prime is 338851. The reversal of 338844 is 448833.

338844 = T₄₀ + T₄₁ + ... + T₁₂₇.

It is a super-2 number, since 2×338844² = 229630512672, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁵ + 3¹⁰ + 8³ + 8³ + 4⁷ + 4⁹ .

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2169 + ... + 2319.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2³³⁸⁸⁴⁴ is an apocalyptic number.

338844 is a gapful number since it is divisible by the number (34) 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 338844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

338844 is an abundant number, since it is smaller than the sum of its proper divisors (580452).

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

338844 is a wasteful number, since it uses less digits than its factorization.

338844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 338844 is about 582.1030836544. The cubic root of 338844 is about 69.7161292880.

The spelling of 338844 in words is "three hundred thirty-eight thousand, eight hundred forty-four".