344100310000044 has 144 divisors (see below), whose sum is σ = 899733160408320. Its totient is φ = 102187420957440.

The previous prime is 344100310000037. The next prime is 344100310000081. The reversal of 344100310000044 is 440000013001443.

It is a junction number, because it is equal to n+sod(n) for n = 344100309999969 and 344100310000023.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154570179 + ... + 156780549.

It is an arithmetic number, because the mean of its divisors is an integer number (6248146947280).

Almost surely, 2^{344100310000044} 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 344100310000044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449866580204160).

344100310000044 is an abundant number, since it is smaller than the sum of its proper divisors (555632850408276).

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

344100310000044 is a wasteful number, since it uses less digits than its factorization.

344100310000044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213080 (or 2213065 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 344100310000044 its reverse (440000013001443), we get a palindrome (784100323001487).

The spelling of 344100310000044 in words is "three hundred forty-four trillion, one hundred billion, three hundred ten million, forty-four", and thus it is an aban number.