34342211200 has 192 divisors, whose sum is σ = 97421220000. Its totient is φ = 11830579200.

The previous prime is 34342211159. The next prime is 34342211203. The reversal of 34342211200 is 211224343.

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 (34342211203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643126 + ... + 694474.

Almost surely, 2^34342211200 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 34342211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48710610000).

34342211200 is an abundant number, since it is smaller than the sum of its proper divisors (63079008800).

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

34342211200 is a wasteful number, since it uses less digits than its factorization.

34342211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51403 (or 51386 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34342211200 its reverse (211224343), we get a palindrome (34553435543).

It can be divided in two parts, 34342 and 211200, that added together give a palindrome (245542).

The spelling of 34342211200 in words is "thirty-four billion, three hundred forty-two million, two hundred eleven thousand, two hundred".