338287216 has 60 divisors (see below), whose sum is σ = 702354600. Its totient is φ = 157803520.

The previous prime is 338287211. The next prime is 338287223. The reversal of 338287216 is 612782833.

It is a super-2 number, since 2×338287216² = 228876481018061312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338287211) 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 11 ways as a sum of consecutive naturals, for example, 688731 + ... + 689221.

It is an arithmetic number, because the mean of its divisors is an integer number (11705910).

Almost surely, 2^338287216 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 338287216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351177300).

338287216 is an abundant number, since it is smaller than the sum of its proper divisors (364067384).

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

338287216 is a wasteful number, since it uses less digits than its factorization.

338287216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 659 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 338287216 is about 18392.5858975838. The cubic root of 338287216 is about 696.7792281157.

The spelling of 338287216 in words is "three hundred thirty-eight million, two hundred eighty-seven thousand, two hundred sixteen".