3233113200 has 180 divisors, whose sum is σ = 11278680400. Its totient is φ = 857640960.

The previous prime is 3233113189. The next prime is 3233113217. The reversal of 3233113200 is 23113323.

3233113200 is a `hidden beast` number, since 32 + 3 + 311 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 714144 + ... + 718656.

Almost surely, 2^3233113200 is an apocalyptic number.

3233113200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3233113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639340200).

3233113200 is an abundant number, since it is smaller than the sum of its proper divisors (8045567200).

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

3233113200 is a wasteful number, since it uses less digits than its factorization.

3233113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 4722 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3233113200 is about 56860.4713311453. The cubic root of 3233113200 is about 1478.6780867439.

Adding to 3233113200 its reverse (23113323), we get a palindrome (3256226523).

The spelling of 3233113200 in words is "three billion, two hundred thirty-three million, one hundred thirteen thousand, two hundred".