344200100321 has 16 divisors (see below), whose sum is σ = 429386229888. Its totient is φ = 268049347200.

The previous prime is 344200100239. The next prime is 344200100347. The reversal of 344200100321 is 123001002443.

It is a cyclic number.

It is not a de Polignac number, because 344200100321 - 2¹⁰ = 344200099297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344200100293 and 344200100302.

It is not an unprimeable number, because it can be changed into a prime (344200100821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1189820 + ... + 1450541.

It is an arithmetic number, because the mean of its divisors is an integer number (26836639368).

Almost surely, 2^344200100321 is an apocalyptic number.

It is an amenable number.

344200100321 is a deficient number, since it is larger than the sum of its proper divisors (85186129567).

344200100321 is a wasteful number, since it uses less digits than its factorization.

344200100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642072.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 344200100321 its reverse (123001002443), we get a palindrome (467201102764).

The spelling of 344200100321 in words is "three hundred forty-four billion, two hundred million, one hundred thousand, three hundred twenty-one".