338642016 has 192 divisors, whose sum is σ = 992839680. Its totient is φ = 100638720.

The previous prime is 338642011. The next prime is 338642021. The reversal of 338642016 is 610246833.

It is an interprime number because it is at equal distance from previous prime (338642011) and next prime (338642021).

It is a super-2 number, since 2×338642016² = 229356830001088512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338642011) by changing a digit.

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, 2996776 + ... + 2996888.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2^338642016 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 338642016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496419840).

338642016 is an abundant number, since it is smaller than the sum of its proper divisors (654197664).

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

338642016 is a wasteful number, since it uses less digits than its factorization.

338642016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 338642016 is about 18402.2285606934. The cubic root of 338642016 is about 697.0227400197.

Adding to 338642016 its reverse (610246833), we get a palindrome (948888849).

The spelling of 338642016 in words is "three hundred thirty-eight million, six hundred forty-two thousand, sixteen".