34402234341200 has 960 divisors, whose sum is σ = 100186971552000. Its totient is φ = 11205269913600.

The previous prime is 34402234341193. The next prime is 34402234341203. The reversal of 34402234341200 is 214343220443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34402234341203) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52683360074 + ... + 52683360726.

It is an arithmetic number, because the mean of its divisors is an integer number (104361428700).

Almost surely, 2^{34402234341200} 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 34402234341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50093485776000).

34402234341200 is an abundant number, since it is smaller than the sum of its proper divisors (65784737210800).

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

34402234341200 is a wasteful number, since it uses less digits than its factorization.

34402234341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 34402234341200 its reverse (214343220443), we get a palindrome (34616577561643).

The spelling of 34402234341200 in words is "thirty-four trillion, four hundred two billion, two hundred thirty-four million, three hundred forty-one thousand, two hundred".