334944 has 36 divisors (see below), whose sum is σ = 953316. Its totient is φ = 111552.

The previous prime is 334931. The next prime is 334963. The reversal of 334944 is 449433.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×334944² = 224374966272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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 (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (26481).

2³³⁴⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

334944 is an abundant number, since it is smaller than the sum of its proper divisors (618372).

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

334944 is a wasteful number, since it uses less digits than its factorization.

334944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1168 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 334944 is about 578.7434664858. The cubic root of 334944 is about 69.4476254306.

Adding to 334944 its sum of digits (27), we get a triangular number (334971 = T₈₁₈).

The spelling of 334944 in words is "three hundred thirty-four thousand, nine hundred forty-four".