3141977997312 has 1024 divisors, whose sum is σ = 12293820748800. Its totient is φ = 767809290240.

The previous prime is 3141977997311. The next prime is 3141977997349. The reversal of 3141977997312 is 2137997791413.

3141977997312 is a `hidden beast` number, since 3 + 141 + 97 + 7 + 9 + 97 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3141977997312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141977997311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1158118068 + ... + 1158120780.

It is an arithmetic number, because the mean of its divisors is an integer number (12005684325).

Almost surely, 2^{3141977997312} is an apocalyptic number.

3141977997312 is a gapful number since it is divisible by the number (32) 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 3141977997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146910374400).

3141977997312 is an abundant number, since it is smaller than the sum of its proper divisors (9151842751488).

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

3141977997312 is a wasteful number, since it uses less digits than its factorization.

3141977997312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2753 counting only the distinct ones).

The product of its digits is 18003384, while the sum is 63.

The spelling of 3141977997312 in words is "three trillion, one hundred forty-one billion, nine hundred seventy-seven million, nine hundred ninety-seven thousand, three hundred twelve".