3141868806720 has 896 divisors, whose sum is σ = 13874973926400. Its totient is φ = 652584812544.

The previous prime is 3141868806649. The next prime is 3141868806721. The reversal of 3141868806720 is 276088681413.

3141868806720 is a `hidden beast` number, since 31 + 418 + 68 + 80 + 67 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3141868806721) 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, 29763954 + ... + 29869326.

Almost surely, 2^{3141868806720} is an apocalyptic number.

3141868806720 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 3141868806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937486963200).

3141868806720 is an abundant number, since it is smaller than the sum of its proper divisors (10733105119680).

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

3141868806720 is a wasteful number, since it uses less digits than its factorization.

3141868806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105452 (or 105436 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 3141868806720 in words is "three trillion, one hundred forty-one billion, eight hundred sixty-eight million, eight hundred six thousand, seven hundred twenty".