3311224000 has 168 divisors, whose sum is σ = 9540191232. Its totient is φ = 1135142400.

The previous prime is 3311223991. The next prime is 3311224039. The reversal of 3311224000 is 4221133.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387777 + ... + 396223.

Almost surely, 2^3311224000 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 3311224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770095616).

3311224000 is an abundant number, since it is smaller than the sum of its proper divisors (6228967232).

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

3311224000 is an equidigital number, since it uses as much as digits as its factorization.

3311224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8488 (or 8461 counting only the distinct ones).

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

The square root of 3311224000 is about 57543.2359187420. The cubic root of 3311224000 is about 1490.4915574075.

Adding to 3311224000 its reverse (4221133), we get a palindrome (3315445133).

The spelling of 3311224000 in words is "three billion, three hundred eleven million, two hundred twenty-four thousand".