338730336 has 288 divisors, whose sum is σ = 1174118400. Its totient is φ = 96018048.

The previous prime is 338730331. The next prime is 338730349. The reversal of 338730336 is 633037833.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×338730336² = 229476481053345792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 338730336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338730331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2667105 + ... + 2667231.

It is an arithmetic number, because the mean of its divisors is an integer number (4076800).

Almost surely, 2^338730336 is an apocalyptic number.

338730336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338730336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587059200).

338730336 is an abundant number, since it is smaller than the sum of its proper divisors (835388064).

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

338730336 is an equidigital number, since it uses as much as digits as its factorization.

338730336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 338730336 is about 18404.6281136023. The cubic root of 338730336 is about 697.0833307462.

The spelling of 338730336 in words is "three hundred thirty-eight million, seven hundred thirty thousand, three hundred thirty-six".