3233134400 has 84 divisors (see below), whose sum is σ = 7974409248. Its totient is φ = 1290186240.

The previous prime is 3233134393. The next prime is 3233134423. The reversal of 3233134400 is 44313323.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 745037 + ... + 749363.

Almost surely, 2^3233134400 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 3233134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987204624).

3233134400 is an abundant number, since it is smaller than the sum of its proper divisors (4741274848).

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

3233134400 is a wasteful number, since it uses less digits than its factorization.

3233134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 3233134400 is about 56860.6577520873. The cubic root of 3233134400 is about 1478.6813187069.

Adding to 3233134400 its reverse (44313323), we get a palindrome (3277447723).

The spelling of 3233134400 in words is "three billion, two hundred thirty-three million, one hundred thirty-four thousand, four hundred".