343386400 has 144 divisors (see below), whose sum is σ = 1014685056. Its totient is φ = 110776320.

The previous prime is 343386397. The next prime is 343386401. The reversal of 343386400 is 4683343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343386401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 93397 + ... + 97003.

It is an arithmetic number, because the mean of its divisors is an integer number (7046424).

Almost surely, 2^343386400 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 343386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507342528).

343386400 is an abundant number, since it is smaller than the sum of its proper divisors (671298656).

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

343386400 is a wasteful number, since it uses less digits than its factorization.

343386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 343386400 is about 18530.6880606199. The cubic root of 343386400 is about 700.2627584990.

The spelling of 343386400 in words is "three hundred forty-three million, three hundred eighty-six thousand, four hundred".