3663003663 has 48 divisors (see below), whose sum is σ = 5987303712. Its totient is φ = 2138400000.

The previous prime is 3663003623. The next prime is 3663003689.

3663003663 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3663003663 - 2⁶ = 3663003599 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663003623) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 365013 + ... + 374913.

It is an arithmetic number, because the mean of its divisors is an integer number (124735494).

Almost surely, 2^3663003663 is an apocalyptic number.

3663003663 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3663003663 is a deficient number, since it is larger than the sum of its proper divisors (2324300049).

3663003663 is a wasteful number, since it uses less digits than its factorization.

3663003663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10056 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The square root of 3663003663 is about 60522.7532668500. The cubic root of 3663003663 is about 1541.5080049090.

It can be divided in two parts, 366300 and 3663, that multiplied together give a square (1341756900 = 36630²).

The spelling of 3663003663 in words is "three billion, six hundred sixty-three million, three thousand, six hundred sixty-three".