3444224000 has 312 divisors, whose sum is σ = 10150811424. Its totient is φ = 1142784000.

The previous prime is 3444223999. The next prime is 3444224039. The reversal of 3444224000 is 4224443.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111103985 + ... + 111104015.

It is an arithmetic number, because the mean of its divisors is an integer number (32534652).

Almost surely, 2^3444224000 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 3444224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075405712).

3444224000 is an abundant number, since it is smaller than the sum of its proper divisors (6706587424).

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

3444224000 is an frugal number, since it uses more digits than its factorization.

3444224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 3444224000 is about 58687.5114483482. The cubic root of 3444224000 is about 1510.1860800168.

Adding to 3444224000 its reverse (4224443), we get a palindrome (3448448443).

The spelling of 3444224000 in words is "three billion, four hundred forty-four million, two hundred twenty-four thousand".