344304221000 has 64 divisors (see below), whose sum is σ = 806028004080. Its totient is φ = 137660812800.

The previous prime is 344304220993. The next prime is 344304221033. The reversal of 344304221000 is 122403443.

It can be written as a sum of positive squares in 8 ways, for example, as 50780819716 + 293523401284 = 225346^2 + 541778^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2222054 + ... + 2371946.

Almost surely, 2^344304221000 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 344304221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403014002040).

344304221000 is an abundant number, since it is smaller than the sum of its proper divisors (461723783080).

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

344304221000 is a wasteful number, since it uses less digits than its factorization.

344304221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152211 (or 152197 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 344304221000 its reverse (122403443), we get a palindrome (344426624443).

The spelling of 344304221000 in words is "three hundred forty-four billion, three hundred four million, two hundred twenty-one thousand".