3183879867144 has 256 divisors, whose sum is σ = 8439137280000. Its totient is φ = 999536778240.

The previous prime is 3183879867089. The next prime is 3183879867149. The reversal of 3183879867144 is 4417689783813.

It is not an unprimeable number, because it can be changed into a prime (3183879867149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3494928049 + ... + 3494928959.

It is an arithmetic number, because the mean of its divisors is an integer number (32965380000).

Almost surely, 2^{3183879867144} 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 3183879867144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219568640000).

3183879867144 is an abundant number, since it is smaller than the sum of its proper divisors (5255257412856).

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

3183879867144 is a wasteful number, since it uses less digits than its factorization.

3183879867144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1664 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 69.

The spelling of 3183879867144 in words is "three trillion, one hundred eighty-three billion, eight hundred seventy-nine million, eight hundred sixty-seven thousand, one hundred forty-four".