338218920 has 96 divisors (see below), whose sum is σ = 1183782600. Its totient is φ = 83252736.

The previous prime is 338218919. The next prime is 338218931. The reversal of 338218920 is 29812833.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 181117764 + 157101156 = 13458^2 + 12534^2 .

It is a super-2 number, since 2×338218920² = 228784075691932800, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 31455 + ... + 40814.

Almost surely, 2^338218920 is an apocalyptic number.

338218920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338218920 is an abundant number, since it is smaller than the sum of its proper divisors (845563680).

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

338218920 is a wasteful number, since it uses less digits than its factorization.

338218920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72299 (or 72292 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 338218920 is about 18390.7291861960. The cubic root of 338218920 is about 696.7323345937.

The spelling of 338218920 in words is "three hundred thirty-eight million, two hundred eighteen thousand, nine hundred twenty".