34343201200 has 240 divisors, whose sum is σ = 106190346240. Its totient is φ = 10358784000.

The previous prime is 34343201197. The next prime is 34343201209. The reversal of 34343201200 is 210234343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (34343201209) 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, 936816 + ... + 972784.

It is an arithmetic number, because the mean of its divisors is an integer number (442459776).

Almost surely, 2^34343201200 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 34343201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53095173120).

34343201200 is an abundant number, since it is smaller than the sum of its proper divisors (71847145040).

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

34343201200 is a wasteful number, since it uses less digits than its factorization.

34343201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36036 (or 36025 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 34343201200 its reverse (210234343), we get a palindrome (34553435543).

The spelling of 34343201200 in words is "thirty-four billion, three hundred forty-three million, two hundred one thousand, two hundred".