338125248 has 84 divisors (see below), whose sum is σ = 975608920. Its totient is φ = 111960576.

The previous prime is 338125201. The next prime is 338125289. The reversal of 338125248 is 842521833.

It is a super-2 number, since 2×338125248² = 228657366670123008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88563 + ... + 92301.

Almost surely, 2^338125248 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 338125248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487804460).

338125248 is an abundant number, since it is smaller than the sum of its proper divisors (637483672).

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

338125248 is a wasteful number, since it uses less digits than its factorization.

338125248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914 (or 3901 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 338125248 is about 18388.1822918961. The cubic root of 338125248 is about 696.6680070892.

It can be divided in two parts, 3381252 and 48, that added together give a triangular number (3381300 = T₂₆₀₀).

The spelling of 338125248 in words is "three hundred thirty-eight million, one hundred twenty-five thousand, two hundred forty-eight".