344366444100 has 144 divisors (see below), whose sum is σ = 1140945724800. Its totient is φ = 78557445120.

The previous prime is 344366444099. The next prime is 344366444111. The reversal of 344366444100 is 1444663443.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 907816 + ... + 1229984.

It is an arithmetic number, because the mean of its divisors is an integer number (7923234200).

Almost surely, 2^344366444100 is an apocalyptic number.

344366444100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344366444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570472862400).

344366444100 is an abundant number, since it is smaller than the sum of its proper divisors (796579280700).

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

344366444100 is a wasteful number, since it uses less digits than its factorization.

344366444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322702 (or 322695 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 344366444100 in words is "three hundred forty-four billion, three hundred sixty-six million, four hundred forty-four thousand, one hundred".