3117194720640 has 3840 divisors, whose sum is σ = 15531346575360. Its totient is φ = 579400335360.

The previous prime is 3117194720621. The next prime is 3117194720699. The reversal of 3117194720640 is 460274917113.

It is a happy number.

3117194720640 is a `hidden beast` number, since 3 + 1 + 171 + 9 + 472 + 0 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 24544840257 + ... + 24544840383.

It is an arithmetic number, because the mean of its divisors is an integer number (4044621504).

Almost surely, 2^{3117194720640} is an apocalyptic number.

3117194720640 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 3117194720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7765673287680).

3117194720640 is an abundant number, since it is smaller than the sum of its proper divisors (12414151854720).

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

3117194720640 is a wasteful number, since it uses less digits than its factorization.

3117194720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 3117194720640 in words is "three trillion, one hundred seventeen billion, one hundred ninety-four million, seven hundred twenty thousand, six hundred forty".