3828003663 has 64 divisors (see below), whose sum is σ = 6145413120. Its totient is φ = 2093817600.

The previous prime is 3828003637. The next prime is 3828003671. The reversal of 3828003663 is 3663008283.

It is not a de Polignac number, because 3828003663 - 2²⁹ = 3291132751 is a prime.

It is a super-2 number, since 2×3828003663² = 29307224087882835138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828003623) 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 63 ways as a sum of consecutive naturals, for example, 1103670 + ... + 1107132.

It is an arithmetic number, because the mean of its divisors is an integer number (96022080).

Almost surely, 2^3828003663 is an apocalyptic number.

3828003663 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3828003663 is a deficient number, since it is larger than the sum of its proper divisors (2317409457).

3828003663 is a wasteful number, since it uses less digits than its factorization.

3828003663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580.

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 3828003663 is about 61870.8627950185. The cubic root of 3828003663 is about 1564.3146584618.

The spelling of 3828003663 in words is "three billion, eight hundred twenty-eight million, three thousand, six hundred sixty-three".