338412816 has 225 divisors, whose sum is σ = 1155199221. Its totient is φ = 95364864.

The previous prime is 338412793. The next prime is 338412817. The reversal of 338412816 is 618214833.

The square root of 338412816 is 18396.

It is a perfect power (a square), and thus also a powerful number.

338412816 is a `hidden beast` number, since 338 + 41 + 281 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192099600 + 146313216 = 13860^2 + 12096^2 .

It is a super-2 number, since 2×338412816² = 229046468066099712, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (338412817) 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 44 ways as a sum of consecutive naturals, for example, 4635756 + ... + 4635828.

Almost surely, 2^338412816 is an apocalyptic number.

338412816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

338412816 is the 18396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338412816

338412816 is an abundant number, since it is smaller than the sum of its proper divisors (816786405).

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

338412816 is an equidigital number, since it uses as much as digits as its factorization.

338412816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 85 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The cubic root of 338412816 is about 696.8654513388.

Multiplying 338412816 by its sum of digits (36), we get a square (12182861376 = 110376²).

338412816 divided by its sum of digits (36) gives a square (9400356 = 3066²).

The spelling of 338412816 in words is "three hundred thirty-eight million, four hundred twelve thousand, eight hundred sixteen".