338744 has 32 divisors (see below), whose sum is σ = 760320. Its totient is φ = 138336.

The previous prime is 338731. The next prime is 338747. The reversal of 338744 is 447833.

338744 = T₁₆₀ + T₁₆₁ + ... + T₁₈₂.

It is a super-2 number, since 2×338744² = 229494995072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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

338744 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 7 ways as a sum of consecutive naturals, for example, 1157 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (23760).

2³³⁸⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380160).

338744 is an abundant number, since it is smaller than the sum of its proper divisors (421576).

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

338744 is a wasteful number, since it uses less digits than its factorization.

338744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its digits is 8064, while the sum is 29.

The square root of 338744 is about 582.0171818770. The cubic root of 338744 is about 69.7092703806.

The spelling of 338744 in words is "three hundred thirty-eight thousand, seven hundred forty-four".