4340224000 has 312 divisors, whose sum is σ = 12673180728. Its totient is φ = 1479475200.

The previous prime is 4340223949. The next prime is 4340224001. The reversal of 4340224000 is 4220434.

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 4337012736 = 1792^2 + 65856^2 .

It is not an unprimeable number, because it can be changed into a prime (4340224001) 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, 25087914 + ... + 25088086.

It is an arithmetic number, because the mean of its divisors is an integer number (40619169).

Almost surely, 2^4340224000 is an apocalyptic number.

4340224000 is a gapful number since it is divisible by the number (40) 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 4340224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6336590364).

4340224000 is an abundant number, since it is smaller than the sum of its proper divisors (8332956728).

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

4340224000 is an equidigital number, since it uses as much as digits as its factorization.

4340224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4340224000 is about 65880.3764409403. The cubic root of 4340224000 is about 1631.1881134070.

Adding to 4340224000 its reverse (4220434), we get a palindrome (4344444434).

The spelling of 4340224000 in words is "four billion, three hundred forty million, two hundred twenty-four thousand".