343226400 has 144 divisors (see below), whose sum is σ = 1218859488. Its totient is φ = 83200000.

The previous prime is 343226371. The next prime is 343226437. The reversal of 343226400 is 4622343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 19900 + ... + 32900.

It is an arithmetic number, because the mean of its divisors is an integer number (8464302).

Almost surely, 2^343226400 is an apocalyptic number.

343226400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609429744).

343226400 is an abundant number, since it is smaller than the sum of its proper divisors (875633088).

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

343226400 is a wasteful number, since it uses less digits than its factorization.

343226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 343226400 is about 18526.3703946564. The cubic root of 343226400 is about 700.1539797319.

Adding to 343226400 its reverse (4622343), we get a palindrome (347848743).

The spelling of 343226400 in words is "three hundred forty-three million, two hundred twenty-six thousand, four hundred".