3333224000 has 112 divisors (see below), whose sum is σ = 8740658160. Its totient is φ = 1254809600.

The previous prime is 3333223987. The next prime is 3333224003. The reversal of 3333224000 is 4223333.

It can be written as a sum of positive squares in 8 ways, for example, as 139617856 + 3193606144 = 11816^2 + 56512^2 .

It is a super-2 number, since 2×3333224000² = 22220764468352000000, 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 (3333224003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123746 + ... + 148254.

Almost surely, 2^3333224000 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 3333224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370329080).

3333224000 is an abundant number, since it is smaller than the sum of its proper divisors (5407434160).

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

3333224000 is a wasteful number, since it uses less digits than its factorization.

3333224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24553 (or 24533 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 3333224000 is about 57734.0800567568. The cubic root of 3333224000 is about 1493.7852497765.

Adding to 3333224000 its reverse (4223333), we get a palindrome (3337447333).

The spelling of 3333224000 in words is "three billion, three hundred thirty-three million, two hundred twenty-four thousand".