3946007227968 has 168 divisors, whose sum is σ = 12294396511488. Its totient is φ = 1202808572928.

The previous prime is 3946007227891. The next prime is 3946007228047. The reversal of 3946007227968 is 8697227006493.

3946007227968 is a `hidden beast` number, since 39 + 460 + 0 + 72 + 2 + 79 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1661296 + ... + 3263727.

It is an arithmetic number, because the mean of its divisors is an integer number (73180931616).

Almost surely, 2^{3946007227968} is an apocalyptic number.

It is an amenable number.

3946007227968 is an abundant number, since it is smaller than the sum of its proper divisors (8348389283520).

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

3946007227968 is a wasteful number, since it uses less digits than its factorization.

3946007227968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925161 (or 4925148 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 3946007227968 in words is "three trillion, nine hundred forty-six billion, seven million, two hundred twenty-seven thousand, nine hundred sixty-eight".