338684544 has 256 divisors, whose sum is σ = 1116288000. Its totient is φ = 100224000.

The previous prime is 338684543. The next prime is 338684561. The reversal of 338684544 is 445486833.

It is a super-2 number, since 2×338684544² = 229414440688975872, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 338684544.

It is not an unprimeable number, because it can be changed into a prime (338684543) 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 31 ways as a sum of consecutive naturals, for example, 2242869 + ... + 2243019.

It is an arithmetic number, because the mean of its divisors is an integer number (4360500).

Almost surely, 2^338684544 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 338684544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558144000).

338684544 is an abundant number, since it is smaller than the sum of its proper divisors (777603456).

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

338684544 is a wasteful number, since it uses less digits than its factorization.

338684544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 338684544 is about 18403.3840366385. The cubic root of 338684544 is about 697.0519170866.

The spelling of 338684544 in words is "three hundred thirty-eight million, six hundred eighty-four thousand, five hundred forty-four".