3946116627648 has 252 divisors, whose sum is σ = 12390931670208. Its totient is φ = 1193602360320.

The previous prime is 3946116627647. The next prime is 3946116627667. The reversal of 3946116627648 is 8467266116493.

3946116627648 is a `hidden beast` number, since 3 + 9 + 4 + 611 + 6 + 6 + 2 + 7 + 6 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3946116627647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25990033 + ... + 26141423.

Almost surely, 2^{3946116627648} 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 3946116627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195465835104).

3946116627648 is an abundant number, since it is smaller than the sum of its proper divisors (8444815042560).

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

3946116627648 is a wasteful number, since it uses less digits than its factorization.

3946116627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151540 (or 151468 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 3946116627648 in words is "three trillion, nine hundred forty-six billion, one hundred sixteen million, six hundred twenty-seven thousand, six hundred forty-eight".