3979646955648 has 768 divisors, whose sum is σ = 14943812083200. Its totient is φ = 986505412608.

The previous prime is 3979646955619. The next prime is 3979646955649. The reversal of 3979646955648 is 8465596469793.

3979646955648 is a `hidden beast` number, since 3 + 9 + 7 + 9 + 6 + 46 + 9 + 5 + 564 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3979646955649) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2350647090 + ... + 2350648782.

It is an arithmetic number, because the mean of its divisors is an integer number (19458088650).

Almost surely, 2^{3979646955648} 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 3979646955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471906041600).

3979646955648 is an abundant number, since it is smaller than the sum of its proper divisors (10964165127552).

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

3979646955648 is a wasteful number, since it uses less digits than its factorization.

3979646955648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3054 counting only the distinct ones).

The product of its digits is 10581580800, while the sum is 81.

The spelling of 3979646955648 in words is "three trillion, nine hundred seventy-nine billion, six hundred forty-six million, nine hundred fifty-five thousand, six hundred forty-eight".