342000288 has 216 divisors, whose sum is σ = 1182740832. Its totient is φ = 91809792.

The previous prime is 342000283. The next prime is 342000289. The reversal of 342000288 is 882000243.

It is not an unprimeable number, because it can be changed into a prime (342000283) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 582331 + ... + 582917.

It is an arithmetic number, because the mean of its divisors is an integer number (5475652).

Almost surely, 2^342000288 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 342000288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591370416).

342000288 is an abundant number, since it is smaller than the sum of its proper divisors (840740544).

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

342000288 is a wasteful number, since it uses less digits than its factorization.

342000288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 342000288 is about 18493.2497955335. The cubic root of 342000288 is about 699.3192620181.

The spelling of 342000288 in words is "three hundred forty-two million, two hundred eighty-eight", and thus it is an aban number.