3646886463 has 128 divisors (see below), whose sum is σ = 6471843840. Its totient is φ = 2006674560.

The previous prime is 3646886443. The next prime is 3646886471.

3646886463 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3646886463 - 2⁵ = 3646886431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3646886413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11878956 + ... + 11879262.

It is an arithmetic number, because the mean of its divisors is an integer number (50561280).

Almost surely, 2^3646886463 is an apocalyptic number.

3646886463 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3646886463 is a deficient number, since it is larger than the sum of its proper divisors (2824957377).

3646886463 is a wasteful number, since it uses less digits than its factorization.

3646886463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 3646886463 is about 60389.4565549318. The cubic root of 3646886463 is about 1539.2438046848.

The spelling of 3646886463 in words is "three billion, six hundred forty-six million, eight hundred eighty-six thousand, four hundred sixty-three".