344444200000 has 168 divisors, whose sum is σ = 872529404544. Its totient is φ = 134842560000.

The previous prime is 344444199991. The next prime is 344444200007. The reversal of 344444200000 is 2444443.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (344444200007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9381679 + ... + 9418321.

It is an arithmetic number, because the mean of its divisors is an integer number (5193627408).

Almost surely, 2^344444200000 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 344444200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436264702272).

344444200000 is an abundant number, since it is smaller than the sum of its proper divisors (528085204544).

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

344444200000 is an frugal number, since it uses more digits than its factorization.

344444200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36727 (or 36697 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 344444200000 its reverse (2444443), we get a palindrome (344446644443).

The spelling of 344444200000 in words is "three hundred forty-four billion, four hundred forty-four million, two hundred thousand".