342202800 has 120 divisors (see below), whose sum is σ = 1131673600. Its totient is φ = 88300800.

The previous prime is 342202793. The next prime is 342202841. The reversal of 342202800 is 8202243.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32601 + ... + 41799.

Almost surely, 2^342202800 is an apocalyptic number.

342202800 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 342202800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565836800).

342202800 is an abundant number, since it is smaller than the sum of its proper divisors (789470800).

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

342202800 is a wasteful number, since it uses less digits than its factorization.

342202800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9251 (or 9240 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 342202800 is about 18498.7242803389. The cubic root of 342202800 is about 699.4572663839.

The spelling of 342202800 in words is "three hundred forty-two million, two hundred two thousand, eight hundred".