338345552 has 40 divisors (see below), whose sum is σ = 680507040. Its totient is φ = 162771840.

The previous prime is 338345551. The next prime is 338345561. The reversal of 338345552 is 255543833.

It is a super-2 number, since 2×338345552² = 228955425116369408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338345551) 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 7 ways as a sum of consecutive naturals, for example, 152483 + ... + 154685.

It is an arithmetic number, because the mean of its divisors is an integer number (17012676).

Almost surely, 2^338345552 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 338345552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340253520).

338345552 is an abundant number, since it is smaller than the sum of its proper divisors (342161488).

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

338345552 is a wasteful number, since it uses less digits than its factorization.

338345552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571 (or 2565 counting only the distinct ones).

The product of its digits is 216000, while the sum is 38.

The square root of 338345552 is about 18394.1716856182. The cubic root of 338345552 is about 696.8192778869.

The spelling of 338345552 in words is "three hundred thirty-eight million, three hundred forty-five thousand, five hundred fifty-two".