343944 has 48 divisors (see below), whose sum is σ = 989820. Its totient is φ = 107520.

The previous prime is 343943. The next prime is 343951. The reversal of 343944 is 449343.

343944 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 324900 + 19044 = 570^2 + 138^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1084 + ... + 1364.

2³⁴³⁹⁴⁴ is an apocalyptic number.

343944 is a gapful number since it is divisible by the number (34) 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 343944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494910).

343944 is an abundant number, since it is smaller than the sum of its proper divisors (645876).

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

343944 is a wasteful number, since it uses less digits than its factorization.

343944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

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

The square root of 343944 is about 586.4673903978. The cubic root of 343944 is about 70.0641588640.

The spelling of 343944 in words is "three hundred forty-three thousand, nine hundred forty-four".