338271820 has 48 divisors (see below), whose sum is σ = 749548800. Its totient is φ = 127880640.

The previous prime is 338271767. The next prime is 338271821. The reversal of 338271820 is 28172833.

It is a super-2 number, since 2×338271820² = 228855648412224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338271821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216201 + ... + 217759.

It is an arithmetic number, because the mean of its divisors is an integer number (15615600).

Almost surely, 2^338271820 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 338271820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374774400).

338271820 is an abundant number, since it is smaller than the sum of its proper divisors (411276980).

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

338271820 is a wasteful number, since it uses less digits than its factorization.

338271820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 338271820 is about 18392.1673546105. The cubic root of 338271820 is about 696.7686574376.

The spelling of 338271820 in words is "three hundred thirty-eight million, two hundred seventy-one thousand, eight hundred twenty".