339226272 has 192 divisors, whose sum is σ = 1233792000. Its totient is φ = 88093440.

The previous prime is 339226267. The next prime is 339226297. The reversal of 339226272 is 272622933.

339226272 is a `hidden beast` number, since 3 + 3 + 9 + 22 + 627 + 2 = 666.

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 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 31 ways as a sum of consecutive naturals, for example, 63979 + ... + 69077.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2^339226272 is an apocalyptic number.

339226272 is a gapful number since it is divisible by the number (32) 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 339226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

339226272 is an abundant number, since it is smaller than the sum of its proper divisors (894565728).

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

339226272 is a wasteful number, since it uses less digits than its factorization.

339226272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5122 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 339226272 is about 18418.0963185667. The cubic root of 339226272 is about 697.4233653809.

The spelling of 339226272 in words is "three hundred thirty-nine million, two hundred twenty-six thousand, two hundred seventy-two".