3322424000 has 224 divisors, whose sum is σ = 9535119360. Its totient is φ = 1123200000.

The previous prime is 3322423997. The next prime is 3322424003. The reversal of 3322424000 is 4242233.

It is an interprime number because it is at equal distance from previous prime (3322423997) and next prime (3322424003).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3322424000² = 22077002471552000000, which contains 22 as substring.

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 (3322424003) 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, 4423625 + ... + 4424375.

Almost surely, 2^3322424000 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 3322424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767559680).

3322424000 is an abundant number, since it is smaller than the sum of its proper divisors (6212695360).

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

3322424000 is an equidigital number, since it uses as much as digits as its factorization.

3322424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3322424000 is about 57640.4718925860. The cubic root of 3322424000 is about 1492.1701631804.

Adding to 3322424000 its reverse (4242233), we get a palindrome (3326666233).

The spelling of 3322424000 in words is "three billion, three hundred twenty-two million, four hundred twenty-four thousand".