3271312640 has 72 divisors (see below), whose sum is σ = 7983827208. Its totient is φ = 1283809280.

The previous prime is 3271312637. The next prime is 3271312691. The reversal of 3271312640 is 462131723.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66846976 + 3204465664 = 8176^2 + 56608^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43730 + ... + 91950.

It is an arithmetic number, because the mean of its divisors is an integer number (110886489).

Almost surely, 2^3271312640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3271312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991913604).

3271312640 is an abundant number, since it is smaller than the sum of its proper divisors (4712514568).

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

3271312640 is an equidigital number, since it uses as much as digits as its factorization.

3271312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48295 (or 48281 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 3271312640 is about 57195.3900240220. The cubic root of 3271312640 is about 1484.4788597113.

The spelling of 3271312640 in words is "three billion, two hundred seventy-one million, three hundred twelve thousand, six hundred forty".