342259200 has 180 divisors, whose sum is σ = 1225263468. Its totient is φ = 91238400.

The previous prime is 342259199. The next prime is 342259207. The reversal of 342259200 is 2952243.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342259207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 113715 + ... + 116685.

Almost surely, 2^342259200 is an apocalyptic number.

342259200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612631734).

342259200 is an abundant number, since it is smaller than the sum of its proper divisors (883004268).

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

342259200 is a wasteful number, since it uses less digits than its factorization.

342259200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 342259200 is about 18500.2486469777. The cubic root of 342259200 is about 699.4956911842.

The spelling of 342259200 in words is "three hundred forty-two million, two hundred fifty-nine thousand, two hundred".