338505216 has 160 divisors (see below), whose sum is σ = 1085525760. Its totient is φ = 91570176.

The previous prime is 338505187. The next prime is 338505247. The reversal of 338505216 is 612505833.

It is a super-2 number, since 2×338505216² = 229171562518413312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203460 + ... + 205116.

It is an arithmetic number, because the mean of its divisors is an integer number (6784536).

Almost surely, 2^338505216 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 338505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542762880).

338505216 is an abundant number, since it is smaller than the sum of its proper divisors (747020544).

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

338505216 is a wasteful number, since it uses less digits than its factorization.

338505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 338505216 is about 18398.5112441197. The cubic root of 338505216 is about 696.9288694534.

The spelling of 338505216 in words is "three hundred thirty-eight million, five hundred five thousand, two hundred sixteen".