3233403204224 has 64 divisors (see below), whose sum is σ = 6499419785640. Its totient is φ = 1602180120576.

The previous prime is 3233403204223. The next prime is 3233403204277. The reversal of 3233403204224 is 4224023043323.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 181673717824 + 3051729486400 = 426232^2 + 1746920^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3233403204223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211644074 + ... + 211659350.

Almost surely, 2^{3233403204224} 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 3233403204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249709892820).

3233403204224 is an abundant number, since it is smaller than the sum of its proper divisors (3266016581416).

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

3233403204224 is a wasteful number, since it uses less digits than its factorization.

3233403204224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30037 (or 30025 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 3233403204224 its reverse (4224023043323), we get a palindrome (7457426247547).

The spelling of 3233403204224 in words is "three trillion, two hundred thirty-three billion, four hundred three million, two hundred four thousand, two hundred twenty-four".