3233613040 has 160 divisors (see below), whose sum is σ = 9119416320. Its totient is φ = 1041610752.

The previous prime is 3233613023. The next prime is 3233613041. The reversal of 3233613040 is 403163323.

It is a junction number, because it is equal to n+sod(n) for n = 3233612996 and 3233613014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233613041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1350084 + ... + 1352476.

It is an arithmetic number, because the mean of its divisors is an integer number (56996352).

Almost surely, 2^3233613040 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 3233613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559708160).

3233613040 is an abundant number, since it is smaller than the sum of its proper divisors (5885803280).

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

3233613040 is a wasteful number, since it uses less digits than its factorization.

3233613040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

The square root of 3233613040 is about 56864.8664818621. The cubic root of 3233613040 is about 1478.7542841346.

Adding to 3233613040 its reverse (403163323), we get a palindrome (3636776363).

The spelling of 3233613040 in words is "three billion, two hundred thirty-three million, six hundred thirteen thousand, forty".