34001342421200 has 240 divisors, whose sum is σ = 101883607365120. Its totient is φ = 10593809856000.

The previous prime is 34001342421173. The next prime is 34001342421203. The reversal of 34001342421200 is 212424310043.

It is a self number, because there is not a number n which added to its sum of digits gives 34001342421200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001342421203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81689615 + ... + 82104785.

It is an arithmetic number, because the mean of its divisors is an integer number (424515030688).

Almost surely, 2^{34001342421200} 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 34001342421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50941803682560).

34001342421200 is an abundant number, since it is smaller than the sum of its proper divisors (67882264943920).

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

34001342421200 is a wasteful number, since it uses less digits than its factorization.

34001342421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417866 (or 417855 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 34001342421200 its reverse (212424310043), we get a palindrome (34213766731243).

The spelling of 34001342421200 in words is "thirty-four trillion, one billion, three hundred forty-two million, four hundred twenty-one thousand, two hundred".