3966474964096 has 16 divisors (see below), whose sum is σ = 7901961842790. Its totient is φ = 1983237481984.

The previous prime is 3966474964093. The next prime is 3966474964099. The reversal of 3966474964096 is 6904694746693.

It is an interprime number because it is at equal distance from previous prime (3966474964093) and next prime (3966474964099).

It can be written as a sum of positive squares in only one way, i.e., 2810987560000 + 1155487404096 = 1676600^2 + 1074936^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3966474964093) by changing a digit.

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 as a sum of consecutive naturals, namely, 15494042701 + ... + 15494042956.

Almost surely, 2^{3966474964096} is an apocalyptic number.

It is an amenable number.

3966474964096 is a deficient number, since it is larger than the sum of its proper divisors (3935486878694).

3966474964096 is an equidigital number, since it uses as much as digits as its factorization.

3966474964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30988085671 (or 30988085659 counting only the distinct ones).

The product of its (nonzero) digits is 1269789696, while the sum is 73.

The spelling of 3966474964096 in words is "three trillion, nine hundred sixty-six billion, four hundred seventy-four million, nine hundred sixty-four thousand, ninety-six".