1344224000 has 288 divisors, whose sum is σ = 4063602816. Its totient is φ = 432537600.

The previous prime is 1344223997. The next prime is 1344224009. The reversal of 1344224000 is 4224431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1344224009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3807824 + ... + 3808176.

It is an arithmetic number, because the mean of its divisors is an integer number (14109732).

Almost surely, 2^1344224000 is an apocalyptic number.

1344224000 is a gapful number since it is divisible by the number (10) 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 1344224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031801408).

1344224000 is an abundant number, since it is smaller than the sum of its proper divisors (2719378816).

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

1344224000 is an equidigital number, since it uses as much as digits as its factorization.

1344224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1344224000 is about 36663.6604828269. The cubic root of 1344224000 is about 1103.6309765728.

Adding to 1344224000 its reverse (4224431), we get a palindrome (1348448431).

The spelling of 1344224000 in words is "one billion, three hundred forty-four million, two hundred twenty-four thousand".