3289266120 has 384 divisors, whose sum is σ = 11904883200. Its totient is φ = 724598784.

The previous prime is 3289266119. The next prime is 3289266173. The reversal of 3289266120 is 216629823.

It is a happy number.

It is a super-3 number, since 3×3289266120³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33909912 + ... + 33910008.

It is an arithmetic number, because the mean of its divisors is an integer number (31002300).

Almost surely, 2^3289266120 is an apocalyptic number.

3289266120 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 3289266120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952441600).

3289266120 is an abundant number, since it is smaller than the sum of its proper divisors (8615617080).

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

3289266120 is a wasteful number, since it uses less digits than its factorization.

3289266120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3289266120 is about 57352.1239362589. The cubic root of 3289266120 is about 1487.1895915151.

The spelling of 3289266120 in words is "three billion, two hundred eighty-nine million, two hundred sixty-six thousand, one hundred twenty".