3966905744601 has 32 divisors (see below), whose sum is σ = 5498333474688. Its totient is φ = 2541897446400.

The previous prime is 3966905744591. The next prime is 3966905744603. The reversal of 3966905744601 is 1064475096693.

It is a happy number.

It is not a de Polignac number, because 3966905744601 - 2⁶ = 3966905744537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3966905744603) 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, 4567105 + ... + 5365841.

It is an arithmetic number, because the mean of its divisors is an integer number (171822921084).

Almost surely, 2^{3966905744601} is an apocalyptic number.

It is an amenable number.

3966905744601 is a deficient number, since it is larger than the sum of its proper divisors (1531427730087).

3966905744601 is a wasteful number, since it uses less digits than its factorization.

3966905744601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799321.

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 3966905744601 in words is "three trillion, nine hundred sixty-six billion, nine hundred five million, seven hundred forty-four thousand, six hundred one".