338765220 has 96 divisors (see below), whose sum is σ = 1057795200. Its totient is φ = 90006912.

The previous prime is 338765213. The next prime is 338765233. The reversal of 338765220 is 22567833.

It is a super-2 number, since 2×338765220² = 229523748563296800, 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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170191 + ... + 172169.

It is an arithmetic number, because the mean of its divisors is an integer number (11018700).

Almost surely, 2^338765220 is an apocalyptic number.

338765220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338765220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528897600).

338765220 is an abundant number, since it is smaller than the sum of its proper divisors (719029980).

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

338765220 is a wasteful number, since it uses less digits than its factorization.

338765220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 338765220 is about 18405.5757856145. The cubic root of 338765220 is about 697.1072595352.

The spelling of 338765220 in words is "three hundred thirty-eight million, seven hundred sixty-five thousand, two hundred twenty".