3970117365760 has 416 divisors, whose sum is σ = 11742434121600. Its totient is φ = 1254683049984.

The previous prime is 3970117365749. The next prime is 3970117365763. The reversal of 3970117365760 is 675637110793.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970117365763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2037001266 + ... + 2037003214.

It is an arithmetic number, because the mean of its divisors is an integer number (28227005100).

Almost surely, 2^{3970117365760} 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 3970117365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5871217060800).

3970117365760 is an abundant number, since it is smaller than the sum of its proper divisors (7772316755840).

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

3970117365760 is a wasteful number, since it uses less digits than its factorization.

3970117365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 55.

The spelling of 3970117365760 in words is "three trillion, nine hundred seventy billion, one hundred seventeen million, three hundred sixty-five thousand, seven hundred sixty".