338688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (108).
It is a nude number because it is divisible by every one of its digits.
2338688 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 338688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
338688 is an equidigital number, since it uses as much as digits as its factorization.
338688 is an evil number, because the sum of its binary digits is even.
The square root of 338688 is about 581.9690713431. The cubic root of 338688 is about 69.7054288028.
Adding to 338688 its sum of digits (36), we get a square (338724 = 5822).
Multiplying 338688 by its product of digits (27648), we get a square (9364045824 = 967682).
The spelling of 338688 in words is "three hundred thirty-eight thousand, six hundred eighty-eight".