338223280 has 80 divisors (see below), whose sum is σ = 838232064. Its totient is φ = 126621440.

The previous prime is 338223269. The next prime is 338223283. The reversal of 338223280 is 82322833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×338223280² = 228789974267916800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338223283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84525 + ... + 88435.

Almost surely, 2^338223280 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 338223280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419116032).

338223280 is an abundant number, since it is smaller than the sum of its proper divisors (500008784).

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

338223280 is a wasteful number, since it uses less digits than its factorization.

338223280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 338223280 is about 18390.8477238000. The cubic root of 338223280 is about 696.7353284534.

It can be divided in two parts, 3382 and 23280, that added together give a palindrome (26662).

The spelling of 338223280 in words is "three hundred thirty-eight million, two hundred twenty-three thousand, two hundred eighty".