3191817612672 has 768 divisors, whose sum is σ = 11067234534720. Its totient is φ = 906783621120.

The previous prime is 3191817612649. The next prime is 3191817612719. The reversal of 3191817612672 is 2762167181913.

3191817612672 is a `hidden beast` number, since 3 + 1 + 9 + 1 + 8 + 17 + 612 + 6 + 7 + 2 = 666.

3191817612672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364316772 + ... + 364325532.

Almost surely, 2^{3191817612672} is an apocalyptic number.

3191817612672 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 3191817612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533617267360).

3191817612672 is an abundant number, since it is smaller than the sum of its proper divisors (7875416922048).

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

3191817612672 is a wasteful number, since it uses less digits than its factorization.

3191817612672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873 (or 8849 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 3191817612672 in words is "three trillion, one hundred ninety-one billion, eight hundred seventeen million, six hundred twelve thousand, six hundred seventy-two".