3234133320 has 128 divisors (see below), whose sum is σ = 10632867840. Its totient is φ = 780445440.

The previous prime is 3234133307. The next prime is 3234133327. The reversal of 3234133320 is 233314323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3234133327) 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, 288867 + ... + 299853.

It is an arithmetic number, because the mean of its divisors is an integer number (83069280).

Almost surely, 2^3234133320 is an apocalyptic number.

3234133320 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 3234133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316433920).

3234133320 is an abundant number, since it is smaller than the sum of its proper divisors (7398734520).

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

3234133320 is a wasteful number, since it uses less digits than its factorization.

3234133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235 (or 11231 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 3234133320 is about 56869.4410030554. The cubic root of 3234133320 is about 1478.8335891319.

Adding to 3234133320 its reverse (233314323), we get a palindrome (3467447643).

The spelling of 3234133320 in words is "three billion, two hundred thirty-four million, one hundred thirty-three thousand, three hundred twenty".