338800 has 90 divisors (see below), whose sum is σ = 1022504. Its totient is φ = 105600.

The previous prime is 338791. The next prime is 338803. The reversal of 338800 is 8833.

It is a super-2 number, since 2×338800² = 229570880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338803) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30795 + ... + 30805.

2³³⁸⁸⁰⁰ 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 338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511252).

338800 is an abundant number, since it is smaller than the sum of its proper divisors (683704).

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

338800 is a wasteful number, since it uses less digits than its factorization.

338800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 338800 is about 582.0652884342. The cubic root of 338800 is about 69.7131115350.

338800 divided by its sum of digits (22) gives a triangular number (15400 = T₁₇₅).

It can be divided in two parts, 338 and 800, that multiplied together give a square (270400 = 520²).

The spelling of 338800 in words is "three hundred thirty-eight thousand, eight hundred".