343242400 has 72 divisors (see below), whose sum is σ = 849883104. Its totient is φ = 135340800.

The previous prime is 343242397. The next prime is 343242437. The reversal of 343242400 is 4242343.

It is a super-3 number, since 3×343242400³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53779 + ... + 59821.

It is an arithmetic number, because the mean of its divisors is an integer number (11803932).

Almost surely, 2^343242400 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 343242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424941552).

343242400 is an abundant number, since it is smaller than the sum of its proper divisors (506640704).

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

343242400 is a wasteful number, since it uses less digits than its factorization.

343242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6134 (or 6121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 343242400 is about 18526.8022065331. The cubic root of 343242400 is about 700.1648591297.

Adding to 343242400 its reverse (4242343), we get a palindrome (347484743).

The spelling of 343242400 in words is "three hundred forty-three million, two hundred forty-two thousand, four hundred".