3430304241200 has 120 divisors (see below), whose sum is σ = 8323148163888. Its totient is φ = 1358557424640.

The previous prime is 3430304241149. The next prime is 3430304241211. The reversal of 3430304241200 is 21424030343.

It is a self number, because there is not a number n which added to its sum of digits gives 3430304241200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17675894 + ... + 17868906.

Almost surely, 2^{3430304241200} 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 3430304241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161574081944).

3430304241200 is an abundant number, since it is smaller than the sum of its proper divisors (4892843922688).

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

3430304241200 is a wasteful number, since it uses less digits than its factorization.

3430304241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193471 (or 193460 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 3430304241200 its reverse (21424030343), we get a palindrome (3451728271543).

The spelling of 3430304241200 in words is "three trillion, four hundred thirty billion, three hundred four million, two hundred forty-one thousand, two hundred".