338200 has 48 divisors (see below), whose sum is σ = 837000. Its totient is φ = 126720.

The previous prime is 338197. The next prime is 338203. The reversal of 338200 is 2833.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (338197) and next prime (338203).

It is a super-2 number, since 2×338200² = 228758480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3756 + ... + 3844.

2³³⁸²⁰⁰ is an apocalyptic number.

338200 is the 475-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418500).

338200 is an abundant number, since it is smaller than the sum of its proper divisors (498800).

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

338200 is a wasteful number, since it uses less digits than its factorization.

338200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 338200 is about 581.5496539419. The cubic root of 338200 is about 69.6719342593.

It can be divided in two parts, 338 and 200, that multiplied together give a square (67600 = 260²).

The spelling of 338200 in words is "three hundred thirty-eight thousand, two hundred".