338752 has 28 divisors (see below), whose sum is σ = 690880. Its totient is φ = 164736.

The previous prime is 338747. The next prime is 338753. The reversal of 338752 is 257833.

338752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338752² = 229505835008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338753) by changing a digit.

338752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 4249 + ... + 4327.

2³³⁸⁷⁵² is an apocalyptic number.

338752 is a gapful number since it is divisible by the number (32) 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 338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345440).

338752 is an abundant number, since it is smaller than the sum of its proper divisors (352128).

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

338752 is an equidigital number, since it uses as much as digits as its factorization.

338752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 338752 is about 582.0240544857. The cubic root of 338752 is about 69.7098191428.

Subtracting from 338752 its sum of digits (28), we obtain a square (338724 = 582²).

The spelling of 338752 in words is "three hundred thirty-eight thousand, seven hundred fifty-two".