342024420312 has 192 divisors, whose sum is σ = 982613268000. Its totient is φ = 107284531200.

The previous prime is 342024420251. The next prime is 342024420323. The reversal of 342024420312 is 213024420243.

342024420312 is a `hidden beast` number, since 3 + 4 + 202 + 4 + 420 + 31 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165308014 + ... + 165310082.

Almost surely, 2^342024420312 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 342024420312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491306634000).

342024420312 is an abundant number, since it is smaller than the sum of its proper divisors (640588847688).

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

342024420312 is a wasteful number, since it uses less digits than its factorization.

342024420312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 342024420312 its reverse (213024420243), we get a palindrome (555048840555).

The spelling of 342024420312 in words is "three hundred forty-two billion, twenty-four million, four hundred twenty thousand, three hundred twelve".