3183132670080 has 1024 divisors, whose sum is σ = 12175200460800. Its totient is φ = 698266419200.

The previous prime is 3183132670061. The next prime is 3183132670087. The reversal of 3183132670080 is 800762313813.

It is not an unprimeable number, because it can be changed into a prime (3183132670087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3238181269 + ... + 3238182251.

It is an arithmetic number, because the mean of its divisors is an integer number (11889844200).

Almost surely, 2^{3183132670080} is an apocalyptic number.

3183132670080 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 3183132670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087600230400).

3183132670080 is an abundant number, since it is smaller than the sum of its proper divisors (8992067790720).

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

3183132670080 is a wasteful number, since it uses less digits than its factorization.

3183132670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

Adding to 3183132670080 its reverse (800762313813), we get a palindrome (3983894983893).

The spelling of 3183132670080 in words is "three trillion, one hundred eighty-three billion, one hundred thirty-two million, six hundred seventy thousand, eighty".