334224400 has 60 divisors (see below), whose sum is σ = 812729232. Its totient is φ = 132065920.

The previous prime is 334224377. The next prime is 334224419. The reversal of 334224400 is 4422433.

334224400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×334224400² = 223411899110720000, which contains 22 as substring.

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, 28167 + ... + 38233.

Almost surely, 2^334224400 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 334224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406364616).

334224400 is an abundant number, since it is smaller than the sum of its proper divisors (478504832).

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

334224400 is a wasteful number, since it uses less digits than its factorization.

334224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168 (or 10157 counting only the distinct ones).

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

The square root of 334224400 is about 18281.8051625106. The cubic root of 334224400 is about 693.9785557576.

Adding to 334224400 its reverse (4422433), we get a palindrome (338646833).

The spelling of 334224400 in words is "three hundred thirty-four million, two hundred twenty-four thousand, four hundred".