338503616 has 56 divisors (see below), whose sum is σ = 740487216. Its totient is φ = 152248320.

The previous prime is 338503603. The next prime is 338503619. The reversal of 338503616 is 616305833.

It is a super-2 number, since 2×338503616² = 229169396090150912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338503619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65810 + ... + 70766.

It is an arithmetic number, because the mean of its divisors is an integer number (13222986).

Almost surely, 2^338503616 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 338503616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370243608).

338503616 is an abundant number, since it is smaller than the sum of its proper divisors (401983600).

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

338503616 is a wasteful number, since it uses less digits than its factorization.

338503616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 338503616 is about 18398.4677622893. The cubic root of 338503616 is about 696.9277714024.

The spelling of 338503616 in words is "three hundred thirty-eight million, five hundred three thousand, six hundred sixteen".