34342321313300 has 1152 divisors, whose sum is σ = 103651885854720. Its totient is φ = 9613866240000.

The previous prime is 34342321313291. The next prime is 34342321313353. The reversal of 34342321313300 is 331312324343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81962580491 + ... + 81962580909.

It is an arithmetic number, because the mean of its divisors is an integer number (89975595360).

Almost surely, 2^{34342321313300} 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 34342321313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51825942927360).

34342321313300 is an abundant number, since it is smaller than the sum of its proper divisors (69309564541420).

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

34342321313300 is a wasteful number, since it uses less digits than its factorization.

34342321313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 34342321313300 its reverse (331312324343), we get a palindrome (34673633637643).

The spelling of 34342321313300 in words is "thirty-four trillion, three hundred forty-two billion, three hundred twenty-one million, three hundred thirteen thousand, three hundred".