342304224400 has 30 divisors (see below), whose sum is σ = 822385900082. Its totient is φ = 136921689600.

The previous prime is 342304224337. The next prime is 342304224401. The reversal of 342304224400 is 4422403243.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 97164370944 + 245139853456 = 311712^2 + 495116^2 .

It is not an unprimeable number, because it can be changed into a prime (342304224401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 427879881 + ... + 427880680.

Almost surely, 2^342304224400 is an apocalyptic number.

It is an amenable number.

342304224400 is an abundant number, since it is smaller than the sum of its proper divisors (480081675682).

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

342304224400 is a wasteful number, since it uses less digits than its factorization.

342304224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855760579 (or 855760568 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 342304224400 its reverse (4422403243), we get a palindrome (346726627643).

The spelling of 342304224400 in words is "three hundred forty-two billion, three hundred four million, two hundred twenty-four thousand, four hundred".