3323112000 has 224 divisors, whose sum is σ = 11818095744. Its totient is φ = 817920000.

The previous prime is 3323111971. The next prime is 3323112007. The reversal of 3323112000 is 2113233.

It is a super-2 number, since 2×3323112000² = 22086146729088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (3323112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306675 + ... + 317325.

It is an arithmetic number, because the mean of its divisors is an integer number (52759356).

Almost surely, 2^3323112000 is an apocalyptic number.

3323112000 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 3323112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909047872).

3323112000 is an abundant number, since it is smaller than the sum of its proper divisors (8494983744).

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

3323112000 is a wasteful number, since it uses less digits than its factorization.

3323112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3323112000 is about 57646.4396125207. The cubic root of 3323112000 is about 1492.2731544721.

Adding to 3323112000 its reverse (2113233), we get a palindrome (3325225233).

The spelling of 3323112000 in words is "three billion, three hundred twenty-three million, one hundred twelve thousand".