3271789680 has 80 divisors (see below), whose sum is σ = 10210730400. Its totient is φ = 866612224.

The previous prime is 3271789679. The next prime is 3271789681. The reversal of 3271789680 is 869871723.

It is an interprime number because it is at equal distance from previous prime (3271789679) and next prime (3271789681).

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3271789681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9987 + ... + 81506.

It is an arithmetic number, because the mean of its divisors is an integer number (127634130).

Almost surely, 2^3271789680 is an apocalyptic number.

3271789680 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 3271789680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105365200).

3271789680 is an abundant number, since it is smaller than the sum of its proper divisors (6938940720).

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

3271789680 is a wasteful number, since it uses less digits than its factorization.

3271789680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91658 (or 91652 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 3271789680 is about 57199.5601381689. The cubic root of 3271789680 is about 1484.5510143735.

The spelling of 3271789680 in words is "three billion, two hundred seventy-one million, seven hundred eighty-nine thousand, six hundred eighty".