3141558560 has 144 divisors (see below), whose sum is σ = 8776547640. Its totient is φ = 1059287040.

The previous prime is 3141558559. The next prime is 3141558611. The reversal of 3141558560 is 658551413.

It can be written as a sum of positive squares in 4 ways, for example, as 2327483536 + 814075024 = 48244^2 + 28532^2 .

It is a super-4 number, since 4×3141558560⁴ (a number of 39 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 474956 + ... + 481524.

Almost surely, 2^3141558560 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 3141558560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388273820).

3141558560 is an abundant number, since it is smaller than the sum of its proper divisors (5634989080).

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

3141558560 is a wasteful number, since it uses less digits than its factorization.

3141558560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6659 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 38.

The square root of 3141558560 is about 56049.6080271754. The cubic root of 3141558560 is about 1464.5865894658.

The spelling of 3141558560 in words is "three billion, one hundred forty-one million, five hundred fifty-eight thousand, five hundred sixty".