334342400 has 216 divisors, whose sum is σ = 1003685760. Its totient is φ = 107642880.

The previous prime is 334342387. The next prime is 334342453. The reversal of 334342400 is 4243433.

It is a happy number.

It is a super-2 number, since 2×334342400² = 223569680875520000, which contains 22 as substring.

It is an unprimeable number.

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, 761381 + ... + 761819.

Almost surely, 2^334342400 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 334342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501842880).

334342400 is an abundant number, since it is smaller than the sum of its proper divisors (669343360).

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

334342400 is a wasteful number, since it uses less digits than its factorization.

334342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 334342400 is about 18285.0321301331. The cubic root of 334342400 is about 694.0602172942.

Adding to 334342400 its reverse (4243433), we get a palindrome (338585833).

The spelling of 334342400 in words is "three hundred thirty-four million, three hundred forty-two thousand, four hundred".