338284188 has 144 divisors (see below), whose sum is σ = 1001669760. Its totient is φ = 98884800.

The previous prime is 338284187. The next prime is 338284231. The reversal of 338284188 is 881482833.

338284188 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 2×338284188² = 228872383701638688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338284187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309523 + ... + 310613.

It is an arithmetic number, because the mean of its divisors is an integer number (6956040).

Almost surely, 2^338284188 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 338284188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500834880).

338284188 is an abundant number, since it is smaller than the sum of its proper divisors (663385572).

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

338284188 is a wasteful number, since it uses less digits than its factorization.

338284188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1136 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 338284188 is about 18392.5035816226. The cubic root of 338284188 is about 696.7771491586. Note that the first 3 decimals are identical.

The spelling of 338284188 in words is "three hundred thirty-eight million, two hundred eighty-four thousand, one hundred eighty-eight".