3966173744 has 40 divisors (see below), whose sum is σ = 8311811760. Its totient is φ = 1822526208.

The previous prime is 3966173689. The next prime is 3966173767. The reversal of 3966173744 is 4473716693.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3966173692 and 3966173701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5999 + ... + 89265.

It is an arithmetic number, because the mean of its divisors is an integer number (207795294).

Almost surely, 2^3966173744 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 3966173744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155905880).

3966173744 is an abundant number, since it is smaller than the sum of its proper divisors (4345638016).

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

3966173744 is a wasteful number, since it uses less digits than its factorization.

3966173744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83517 (or 83511 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 50.

The square root of 3966173744 is about 62977.5654022923. The cubic root of 3966173744 is about 1582.9137261138.

The spelling of 3966173744 in words is "three billion, nine hundred sixty-six million, one hundred seventy-three thousand, seven hundred forty-four".