3966641664 has 60 divisors (see below), whose sum is σ = 10573961244. Its totient is φ = 1321391104.

The previous prime is 3966641659. The next prime is 3966641677. The reversal of 3966641664 is 4661466693.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 2467549 + ... + 2469155.

Almost surely, 2^3966641664 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 3966641664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286980622).

3966641664 is an abundant number, since it is smaller than the sum of its proper divisors (6607319580).

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

3966641664 is an frugal number, since it uses more digits than its factorization.

3966641664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 1612 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 51.

The square root of 3966641664 is about 62981.2802664411. The cubic root of 3966641664 is about 1582.9759731654.

The spelling of 3966641664 in words is "three billion, nine hundred sixty-six million, six hundred forty-one thousand, six hundred sixty-four".