3233022400 has 84 divisors (see below), whose sum is σ = 7976676960. Its totient is φ = 1289728000.

The previous prime is 3233022389. The next prime is 3233022409. The reversal of 3233022400 is 42203323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233022409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639081 + ... + 644119.

It is an arithmetic number, because the mean of its divisors is an integer number (94960440).

Almost surely, 2^3233022400 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 3233022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988338480).

3233022400 is an abundant number, since it is smaller than the sum of its proper divisors (4743654560).

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

3233022400 is a wasteful number, since it uses less digits than its factorization.

3233022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5447 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 3233022400 is about 56859.6728798188. The cubic root of 3233022400 is about 1478.6642440254.

Adding to 3233022400 its reverse (42203323), we get a palindrome (3275225723).

The spelling of 3233022400 in words is "three billion, two hundred thirty-three million, twenty-two thousand, four hundred".