338986944 has 168 divisors, whose sum is σ = 1025152128. Its totient is φ = 111041280.

The previous prime is 338986939. The next prime is 338986951. The reversal of 338986944 is 449689833.

It is a happy number.

It is a super-2 number, since 2×338986944² = 229824296404918272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1104039 + ... + 1104345.

It is an arithmetic number, because the mean of its divisors is an integer number (6102096).

Almost surely, 2^338986944 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 338986944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512576064).

338986944 is an abundant number, since it is smaller than the sum of its proper divisors (686165184).

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

338986944 is an equidigital number, since it uses as much as digits as its factorization.

338986944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 383 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 338986944 is about 18411.5980838166. The cubic root of 338986944 is about 697.2593134178.

The spelling of 338986944 in words is "three hundred thirty-eight million, nine hundred eighty-six thousand, nine hundred forty-four".