338428224 has 42 divisors (see below), whose sum is σ = 970045050. Its totient is φ = 112809216.

The previous prime is 338428217. The next prime is 338428229. The reversal of 338428224 is 422824833.

It is a happy number.

338428224 is a `hidden beast` number, since 3 + 3 + 8 + 428 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183873600 + 154554624 = 13560^2 + 12432^2 .

It is a super-2 number, since 2×338428224² = 229067325599588352, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338428229) 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 5 ways as a sum of consecutive naturals, for example, 293199 + ... + 294350.

Almost surely, 2^338428224 is an apocalyptic number.

It is an amenable number.

338428224 is an abundant number, since it is smaller than the sum of its proper divisors (631616826).

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

338428224 is a wasteful number, since it uses less digits than its factorization.

338428224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587567 (or 587554 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 338428224 is about 18396.4187819260. The cubic root of 338428224 is about 696.8760273172.

The spelling of 338428224 in words is "three hundred thirty-eight million, four hundred twenty-eight thousand, two hundred twenty-four".