3324112000 has 384 divisors, whose sum is σ = 9713798640. Its totient is φ = 1126400000.

The previous prime is 3324111991. The next prime is 3324112019. The reversal of 3324112000 is 2114233.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1124126784 + 2199985216 = 33528^2 + 46904^2 .

It is a super-2 number, since 2×3324112000² = 22099441177088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32911950 + ... + 32912050.

Almost surely, 2^3324112000 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 3324112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856899320).

3324112000 is an abundant number, since it is smaller than the sum of its proper divisors (6389686640).

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

3324112000 is a wasteful number, since it uses less digits than its factorization.

3324112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3324112000 is about 57655.1125226549. The cubic root of 3324112000 is about 1492.4228257735.

Adding to 3324112000 its reverse (2114233), we get a palindrome (3326226233).

The spelling of 3324112000 in words is "three billion, three hundred twenty-four million, one hundred twelve thousand".