343270400 has 264 divisors, whose sum is σ = 986883264. Its totient is φ = 117145600.

The previous prime is 343270399. The next prime is 343270427. The reversal of 343270400 is 4072343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 23 ways as a sum of consecutive naturals, for example, 6476774 + ... + 6476826.

Almost surely, 2^343270400 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 343270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493441632).

343270400 is an abundant number, since it is smaller than the sum of its proper divisors (643612864).

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

343270400 is a wasteful number, since it uses less digits than its factorization.

343270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 23.

The square root of 343270400 is about 18527.5578531009. The cubic root of 343270400 is about 700.1838972623.

The spelling of 343270400 in words is "three hundred forty-three million, two hundred seventy thousand, four hundred".