342225200 has 60 divisors (see below), whose sum is σ = 826037160. Its totient is φ = 136250880.

The previous prime is 342225199. The next prime is 342225209. The reversal of 342225200 is 2522243.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (342225209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 88916 + ... + 92684.

It is an arithmetic number, because the mean of its divisors is an integer number (13767286).

Almost surely, 2^342225200 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 342225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413018580).

342225200 is an abundant number, since it is smaller than the sum of its proper divisors (483811960).

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

342225200 is a wasteful number, since it uses less digits than its factorization.

342225200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 342225200 is about 18499.3297175871. The cubic root of 342225200 is about 699.4725278029.

Adding to 342225200 its reverse (2522243), we get a palindrome (344747443).

The spelling of 342225200 in words is "three hundred forty-two million, two hundred twenty-five thousand, two hundred".