344301232234100 has 144 divisors (see below), whose sum is σ = 769508873280000. Its totient is φ = 133633019520000.

The previous prime is 344301232234067. The next prime is 344301232234111. The reversal of 344301232234100 is 1432232103443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2079646325 + ... + 2079811875.

It is an arithmetic number, because the mean of its divisors is an integer number (5343811620000).

Almost surely, 2^{344301232234100} 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 344301232234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384754436640000).

344301232234100 is an abundant number, since it is smaller than the sum of its proper divisors (425207641045900).

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

344301232234100 is a wasteful number, since it uses less digits than its factorization.

344301232234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168354 (or 168347 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 344301232234100 its reverse (1432232103443), we get a palindrome (345733464337543).

The spelling of 344301232234100 in words is "three hundred forty-four trillion, three hundred one billion, two hundred thirty-two million, two hundred thirty-four thousand, one hundred".