3646966656 has 64 divisors (see below), whose sum is σ = 9706381200. Its totient is φ = 1213255680.

The previous prime is 3646966651. The next prime is 3646966663. The reversal of 3646966656 is 6566696463.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3646966596 and 3646966605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3646966651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190950 + ... + 209178.

Almost surely, 2^3646966656 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 3646966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853190600).

3646966656 is an abundant number, since it is smaller than the sum of its proper divisors (6059414544).

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

3646966656 is a wasteful number, since it uses less digits than its factorization.

3646966656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18767 (or 18755 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 57.

The square root of 3646966656 is about 60390.1205165216. The cubic root of 3646966656 is about 1539.2550869731.

The spelling of 3646966656 in words is "three billion, six hundred forty-six million, nine hundred sixty-six thousand, six hundred fifty-six".