3882563883 has 24 divisors (see below), whose sum is σ = 6283336176. Its totient is φ = 2289470400.

The previous prime is 3882563837. The next prime is 3882563897. The reversal of 3882563883 is 3883652883.

3882563883 is a `hidden beast` number, since 3 + 8 + 8 + 256 + 388 + 3 = 666.

It is not a de Polignac number, because 3882563883 - 2⁸ = 3882563627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3882563833) 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 23 ways as a sum of consecutive naturals, for example, 526308 + ... + 533633.

It is an arithmetic number, because the mean of its divisors is an integer number (261805674).

Almost surely, 2^3882563883 is an apocalyptic number.

3882563883 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3882563883 is a deficient number, since it is larger than the sum of its proper divisors (2400772293).

3882563883 is a wasteful number, since it uses less digits than its factorization.

3882563883 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059995 (or 1059992 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 3882563883 is about 62310.2229413441. Note that the first 3 decimals coincide. The cubic root of 3882563883 is about 1571.7116419885.

It can be divided in two parts, 3882 and 563883, that added together give a palindrome (567765).

The spelling of 3882563883 in words is "three billion, eight hundred eighty-two million, five hundred sixty-three thousand, eight hundred eighty-three".