3289029120 has 480 divisors, whose sum is σ = 12511699200. Its totient is φ = 793608192.

The previous prime is 3289029059. The next prime is 3289029127. The reversal of 3289029120 is 219209823.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3289029127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23662011 + ... + 23662149.

It is an arithmetic number, because the mean of its divisors is an integer number (26066040).

Almost surely, 2^3289029120 is an apocalyptic number.

3289029120 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 3289029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255849600).

3289029120 is an abundant number, since it is smaller than the sum of its proper divisors (9222670080).

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

3289029120 is a wasteful number, since it uses less digits than its factorization.

3289029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3289029120 is about 57350.0577157513. The cubic root of 3289029120 is about 1487.1538720582.

The spelling of 3289029120 in words is "three billion, two hundred eighty-nine million, twenty-nine thousand, one hundred twenty".