3322544000 has 128 divisors (see below), whose sum is σ = 8301290400. Its totient is φ = 1322496000.

The previous prime is 3322543969. The next prime is 3322544021. The reversal of 3322544000 is 4452233.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3322544000² = 22078597263872000000, which contains 22 as substring.

It is a congruent number.

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, 4495631 + ... + 4496369.

Almost surely, 2^3322544000 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 3322544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150645200).

3322544000 is an abundant number, since it is smaller than the sum of its proper divisors (4978746400).

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

3322544000 is an equidigital number, since it uses as much as digits as its factorization.

3322544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 3322544000 is about 57641.5128184540. The cubic root of 3322544000 is about 1492.1881278014.

Adding to 3322544000 its reverse (4452233), we get a palindrome (3326996233).

The spelling of 3322544000 in words is "three billion, three hundred twenty-two million, five hundred forty-four thousand".