334002816 has 288 divisors, whose sum is σ = 1148090580. Its totient is φ = 92897280.

The previous prime is 334002787. The next prime is 334002817. The reversal of 334002816 is 618200433.

It is a happy number.

334002816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 299428416 + 34574400 = 17304^2 + 5880^2 .

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

It is a super-2 number, since 2×334002816² = 223115762191859712, 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 334002816.

It is not an unprimeable number, because it can be changed into a prime (334002817) 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 35 ways as a sum of consecutive naturals, for example, 3443280 + ... + 3443376.

Almost surely, 2^334002816 is an apocalyptic number.

334002816 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 334002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574045290).

334002816 is an abundant number, since it is smaller than the sum of its proper divisors (814087764).

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

334002816 is a wasteful number, since it uses less digits than its factorization.

334002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 334002816 is about 18275.7439246669. The cubic root of 334002816 is about 693.8251572824.

The spelling of 334002816 in words is "three hundred thirty-four million, two thousand, eight hundred sixteen".