3643632663 has 32 divisors (see below), whose sum is σ = 5408439552. Its totient is φ = 2163302400.

The previous prime is 3643632623. The next prime is 3643632673. The reversal of 3643632663 is 3662363463.

It is not a de Polignac number, because 3643632663 - 2¹⁸ = 3643370519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643632613) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 513820 + ... + 520862.

It is an arithmetic number, because the mean of its divisors is an integer number (169013736).

Almost surely, 2^3643632663 is an apocalyptic number.

3643632663 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3643632663 is a deficient number, since it is larger than the sum of its proper divisors (1764806889).

3643632663 is a wasteful number, since it uses less digits than its factorization.

3643632663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7375.

The product of its digits is 839808, while the sum is 42.

The square root of 3643632663 is about 60362.5104100219. The cubic root of 3643632663 is about 1538.7858906259.

The spelling of 3643632663 in words is "three billion, six hundred forty-three million, six hundred thirty-two thousand, six hundred sixty-three".