3271007145728 has 108 divisors (see below), whose sum is σ = 7596179926272. Its totient is φ = 1401685770240.

The previous prime is 3271007145691. The next prime is 3271007145739. The reversal of 3271007145728 is 8275417001723.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183848513 + ... + 183866303.

Almost surely, 2^{3271007145728} 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 3271007145728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798089963136).

3271007145728 is an abundant number, since it is smaller than the sum of its proper divisors (4325172780544).

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

3271007145728 is a wasteful number, since it uses less digits than its factorization.

3271007145728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32478 (or 32457 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 47.

The spelling of 3271007145728 in words is "three trillion, two hundred seventy-one billion, seven million, one hundred forty-five thousand, seven hundred twenty-eight".