3970165875760 has 160 divisors (see below), whose sum is σ = 10911444480000. Its totient is φ = 1314647331840.

The previous prime is 3970165875751. The next prime is 3970165875803. The reversal of 3970165875760 is 675785610793.

It is a junction number, because it is equal to n+sod(n) for n = 3970165875692 and 3970165875701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8433486 + ... + 8891794.

It is an arithmetic number, because the mean of its divisors is an integer number (68196528000).

Almost surely, 2^{3970165875760} 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 3970165875760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455722240000).

3970165875760 is an abundant number, since it is smaller than the sum of its proper divisors (6941278604240).

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

3970165875760 is a wasteful number, since it uses less digits than its factorization.

3970165875760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458859 (or 458853 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 64.

The spelling of 3970165875760 in words is "three trillion, nine hundred seventy billion, one hundred sixty-five million, eight hundred seventy-five thousand, seven hundred sixty".