338518016 has 84 divisors (see below), whose sum is σ = 715806036. Its totient is φ = 159989760.

The previous prime is 338518013. The next prime is 338518021. The reversal of 338518016 is 610815833.

It is a super-2 number, since 2×338518016² = 229188894313152512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338518013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7872491 + ... + 7872533.

Almost surely, 2^338518016 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 338518016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357903018).

338518016 is an abundant number, since it is smaller than the sum of its proper divisors (377288020).

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

338518016 is an frugal number, since it uses more digits than its factorization.

338518016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 338518016 is about 18398.8590950635. The cubic root of 338518016 is about 696.9376537366.

The spelling of 338518016 in words is "three hundred thirty-eight million, five hundred eighteen thousand, sixteen".