338350516 has 72 divisors (see below), whose sum is σ = 722421504. Its totient is φ = 135769920.

The previous prime is 338350513. The next prime is 338350549. The reversal of 338350516 is 615053833.

It is a super-2 number, since 2×338350516² = 228962143354932512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338350513) 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 23 ways as a sum of consecutive naturals, for example, 784821 + ... + 785251.

It is an arithmetic number, because the mean of its divisors is an integer number (10033632).

Almost surely, 2^338350516 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 338350516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361210752).

338350516 is an abundant number, since it is smaller than the sum of its proper divisors (384070988).

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

338350516 is a wasteful number, since it uses less digits than its factorization.

338350516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 338350516 is about 18394.3066191689. The cubic root of 338350516 is about 696.8226856396.

The spelling of 338350516 in words is "three hundred thirty-eight million, three hundred fifty thousand, five hundred sixteen".