343824 has 80 divisors (see below), whose sum is σ = 1041600. Its totient is φ = 96768.

The previous prime is 343823. The next prime is 343829. The reversal of 343824 is 428343.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

Its product of digits (2304) is a multiple of the sum of its prime factors (72).

It is a junction number, because it is equal to n+sod(n) for n = 343794 and 343803.

It is not an unprimeable number, because it can be changed into a prime (343823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11842 + ... + 11870.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2³⁴³⁸²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520800).

343824 is an abundant number, since it is smaller than the sum of its proper divisors (697776).

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

343824 is a wasteful number, since it uses less digits than its factorization.

343824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 343824 is about 586.3650739940. The cubic root of 343824 is about 70.0560095945.

The spelling of 343824 in words is "three hundred forty-three thousand, eight hundred twenty-four".