3963563664 has 40 divisors (see below), whose sum is σ = 10262066400. Its totient is φ = 1318238208.

The previous prime is 3963563599. The next prime is 3963563687. The reversal of 3963563664 is 4663653693.

It is a happy number.

It is a super-3 number, since 3×3963563664³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 70402 + ... + 113505.

It is an arithmetic number, because the mean of its divisors is an integer number (256551660).

Almost surely, 2^3963563664 is an apocalyptic number.

It is an amenable number.

3963563664 is an abundant number, since it is smaller than the sum of its proper divisors (6298502736).

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

3963563664 is a wasteful number, since it uses less digits than its factorization.

3963563664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184367 (or 184361 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 51.

The square root of 3963563664 is about 62956.8396919667. The cubic root of 3963563664 is about 1582.5664192503.

The spelling of 3963563664 in words is "three billion, nine hundred sixty-three million, five hundred sixty-three thousand, six hundred sixty-four".