338006016 has 156 divisors (see below), whose sum is σ = 1000514268. Its totient is φ = 109903872.

The previous prime is 338005961. The next prime is 338006017. The reversal of 338006016 is 610600833.

It can be written as a sum of positive squares in 2 ways, for example, as 279023616 + 58982400 = 16704^2 + 7680^2 .

It is a super-2 number, since 2×338006016² = 228496133704384512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338006017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1953706 + ... + 1953878.

It is an arithmetic number, because the mean of its divisors is an integer number (6413553).

Almost surely, 2^338006016 is an apocalyptic number.

338006016 is a gapful number since it is divisible by the number (36) 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 338006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500257134).

338006016 is an abundant number, since it is smaller than the sum of its proper divisors (662508252).

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

338006016 is a wasteful number, since it uses less digits than its factorization.

338006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 338006016 is about 18384.9399237528. The cubic root of 338006016 is about 696.5861095420.

Adding to 338006016 its reverse (610600833), we get a palindrome (948606849).

The spelling of 338006016 in words is "three hundred thirty-eight million, six thousand, sixteen".