343824768 has 144 divisors (see below), whose sum is σ = 1151113860. Its totient is φ = 98219520.

The previous prime is 343824749. The next prime is 343824773. The reversal of 343824768 is 867428343.

343824768 is a `hidden beast` number, since 343 + 8 + 247 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 53403 + ... + 59493.

Almost surely, 2^343824768 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 343824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575556930).

343824768 is an abundant number, since it is smaller than the sum of its proper divisors (807289092).

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

343824768 is a wasteful number, since it uses less digits than its factorization.

343824768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125 (or 6103 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 343824768 is about 18542.5124511216. The cubic root of 343824768 is about 700.5606175582.

The spelling of 343824768 in words is "three hundred forty-three million, eight hundred twenty-four thousand, seven hundred sixty-eight".