34242430422200 has 192 divisors, whose sum is σ = 106893853355520. Its totient is φ = 9851967936000.

The previous prime is 34242430422199. The next prime is 34242430422253. The reversal of 34242430422200 is 222403424243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85320356 + ... + 85720755.

It is an arithmetic number, because the mean of its divisors is an integer number (556738819560).

Almost surely, 2^{34242430422200} is an apocalyptic number.

It is an amenable number.

34242430422200 is an abundant number, since it is smaller than the sum of its proper divisors (72651422933320).

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

34242430422200 is a wasteful number, since it uses less digits than its factorization.

34242430422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171041158 (or 171041149 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 34242430422200 its reverse (222403424243), we get a palindrome (34464833846443).

The spelling of 34242430422200 in words is "thirty-four trillion, two hundred forty-two billion, four hundred thirty million, four hundred twenty-two thousand, two hundred".