3289116672 has 104 divisors (see below), whose sum is σ = 9744668880. Its totient is φ = 1096335360.

The previous prime is 3289116653. The next prime is 3289116673. The reversal of 3289116672 is 2766119823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3289116673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95722 + ... + 125462.

Almost surely, 2^3289116672 is an apocalyptic number.

3289116672 is a gapful number since it is divisible by the number (32) 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 3289116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872334440).

3289116672 is an abundant number, since it is smaller than the sum of its proper divisors (6455552208).

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

3289116672 is an equidigital number, since it uses as much as digits as its factorization.

3289116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29774 (or 29746 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 3289116672 is about 57350.8210228938. The cubic root of 3289116672 is about 1487.1670676584.

The spelling of 3289116672 in words is "three billion, two hundred eighty-nine million, one hundred sixteen thousand, six hundred seventy-two".