3352224000 has 144 divisors (see below), whose sum is σ = 11134730880. Its totient is φ = 893900800.

The previous prime is 3352223993. The next prime is 3352224023. The reversal of 3352224000 is 4222533.

It is a super-2 number, since 2×3352224000² = 22474811492352000000, which contains 22 as substring.

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, 78541 + ... + 113459.

It is an arithmetic number, because the mean of its divisors is an integer number (77324520).

Almost surely, 2^3352224000 is an apocalyptic number.

3352224000 is a gapful number since it is divisible by the number (30) 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 3352224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567365440).

3352224000 is an abundant number, since it is smaller than the sum of its proper divisors (7782506880).

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

3352224000 is an equidigital number, since it uses as much as digits as its factorization.

3352224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34953 (or 34929 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3352224000 is about 57898.3937601036. The cubic root of 3352224000 is about 1496.6181589418.

Adding to 3352224000 its reverse (4222533), we get a palindrome (3356446533).

The spelling of 3352224000 in words is "three billion, three hundred fifty-two million, two hundred twenty-four thousand".