3191745731328 has 2592 divisors, whose sum is σ = 13208316226560. Its totient is φ = 744943288320.

The previous prime is 3191745731311. The next prime is 3191745731353. The reversal of 3191745731328 is 8231375471913.

3191745731328 is a `hidden beast` number, since 3 + 191 + 74 + 57 + 313 + 28 = 666.

3191745731328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

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

Its product of digits (3810240) is a multiple of the sum of its prime divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86263398126 + ... + 86263398162.

Almost surely, 2^{3191745731328} 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 3191745731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604158113280).

3191745731328 is an abundant number, since it is smaller than the sum of its proper divisors (10016570495232).

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

3191745731328 is an equidigital number, since it uses as much as digits as its factorization.

3191745731328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 3191745731328 in words is "three trillion, one hundred ninety-one billion, seven hundred forty-five million, seven hundred thirty-one thousand, three hundred twenty-eight".