3271971078144 has 192 divisors, whose sum is σ = 9459103013100. Its totient is φ = 1089862631424.

The previous prime is 3271971078127. The next prime is 3271971078151. The reversal of 3271971078144 is 4418701791723.

3271971078144 is a `hidden beast` number, since 327 + 197 + 10 + 7 + 81 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3178775199744 + 93195878400 = 1782912^2 + 305280^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×3271971078144³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516977572 + ... + 516983900.

Almost surely, 2^{3271971078144} 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 3271971078144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729551506550).

3271971078144 is an abundant number, since it is smaller than the sum of its proper divisors (6187131934956).

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

3271971078144 is an equidigital number, since it uses as much as digits as its factorization.

3271971078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8118 (or 8087 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 3271971078144 in words is "three trillion, two hundred seventy-one billion, nine hundred seventy-one million, seventy-eight thousand, one hundred forty-four".