3117693720000 has 280 divisors, whose sum is σ = 10663276971600. Its totient is φ = 802715648000.

The previous prime is 3117693719981. The next prime is 3117693720007. The reversal of 3117693720000 is 273967113.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3117693720007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3032056 + ... + 3927944.

Almost surely, 2^{3117693720000} is an apocalyptic number.

3117693720000 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 3117693720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331638485800).

3117693720000 is an abundant number, since it is smaller than the sum of its proper divisors (7545583251600).

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

3117693720000 is an equidigital number, since it uses as much as digits as its factorization.

3117693720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895953 (or 895928 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The spelling of 3117693720000 in words is "three trillion, one hundred seventeen billion, six hundred ninety-three million, seven hundred twenty thousand".