343222400 has 96 divisors (see below), whose sum is σ = 853107600. Its totient is φ = 136442880.

The previous prime is 343222381. The next prime is 343222409. The reversal of 343222400 is 4222343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (343222409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905411 + ... + 905789.

Almost surely, 2^343222400 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 343222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426553800).

343222400 is an abundant number, since it is smaller than the sum of its proper divisors (509885200).

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

343222400 is a wasteful number, since it uses less digits than its factorization.

343222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 343222400 is about 18526.2624401146. The cubic root of 343222400 is about 700.1512598296.

Adding to 343222400 its reverse (4222343), we get a palindrome (347444743).

The spelling of 343222400 in words is "three hundred forty-three million, two hundred twenty-two thousand, four hundred".