3271207680 has 432 divisors, whose sum is σ = 12655712160. Its totient is φ = 804225024.

The previous prime is 3271207663. The next prime is 3271207691. The reversal of 3271207680 is 867021723.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043116 + ... + 4043924.

It is an arithmetic number, because the mean of its divisors is an integer number (29295630).

Almost surely, 2^3271207680 is an apocalyptic number.

3271207680 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 3271207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327856080).

3271207680 is an abundant number, since it is smaller than the sum of its proper divisors (9384504480).

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

3271207680 is an equidigital number, since it uses as much as digits as its factorization.

3271207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3271207680 is about 57194.4724601950. The cubic root of 3271207680 is about 1484.4629830501.

The spelling of 3271207680 in words is "three billion, two hundred seventy-one million, two hundred seven thousand, six hundred eighty".