3233133120 has 224 divisors, whose sum is σ = 11814048000. Its totient is φ = 733814784.

The previous prime is 3233133097. The next prime is 3233133133. The reversal of 3233133120 is 213313323.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999666 + ... + 1002894.

Almost surely, 2^3233133120 is an apocalyptic number.

3233133120 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 3233133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907024000).

3233133120 is an abundant number, since it is smaller than the sum of its proper divisors (8580914880).

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

3233133120 is a wasteful number, since it uses less digits than its factorization.

3233133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 3233133120 is about 56860.6464965005. The cubic root of 3233133120 is about 1478.6811235699.

Adding to 3233133120 its reverse (213313323), we get a palindrome (3446446443).

The spelling of 3233133120 in words is "three billion, two hundred thirty-three million, one hundred thirty-three thousand, one hundred twenty".