342205200 has 180 divisors, whose sum is σ = 1250299440. Its totient is φ = 86434560.

The previous prime is 342205163. The next prime is 342205217. The reversal of 342205200 is 2502243.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 65899 + ... + 70901.

It is an arithmetic number, because the mean of its divisors is an integer number (6946108).

Almost surely, 2^342205200 is an apocalyptic number.

342205200 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 342205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625149720).

342205200 is an abundant number, since it is smaller than the sum of its proper divisors (908094240).

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

342205200 is a wasteful number, since it uses less digits than its factorization.

342205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 342205200 is about 18498.7891495633. The cubic root of 342205200 is about 699.4589015678.

Adding to 342205200 its reverse (2502243), we get a palindrome (344707443).

The spelling of 342205200 in words is "three hundred forty-two million, two hundred five thousand, two hundred".