343120000 has 80 divisors (see below), whose sum is σ = 854374950. Its totient is φ = 137216000.

The previous prime is 343119983. The next prime is 343120051. The reversal of 343120000 is 21343.

It can be written as a sum of positive squares in 5 ways, for example, as 47004736 + 296115264 = 6856^2 + 17208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77856 + ... + 82144.

Almost surely, 2^343120000 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 343120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427187475).

343120000 is an abundant number, since it is smaller than the sum of its proper divisors (511254950).

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

343120000 is an frugal number, since it uses more digits than its factorization.

343120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 343120000 is about 18523.4985896293. The cubic root of 343120000 is about 700.0816231351.

Adding to 343120000 its reverse (21343), we get a palindrome (343141343).

The spelling of 343120000 in words is "three hundred forty-three million, one hundred twenty thousand".