3882879 has 48 divisors (see below), whose sum is σ = 7547904. Its totient is φ = 1857600.

The previous prime is 3882877. The next prime is 3882881. The reversal of 3882879 is 9782883.

It is an interprime number because it is at equal distance from previous prime (3882877) and next prime (3882881).

It is not a de Polignac number, because 3882879 - 2¹ = 3882877 is a prime.

3882879 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8794 + ... + 9224.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 2^3882879 is an apocalyptic number.

3882879 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3882879 is a deficient number, since it is larger than the sum of its proper divisors (3665025).

3882879 is a wasteful number, since it uses less digits than its factorization.

3882879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 465 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 3882879 is about 1970.5022202474. The cubic root of 3882879 is about 157.1754161972.

It can be divided in two parts, 3882 and 879, that added together give a square (4761 = 69²).

The spelling of 3882879 in words is "three million, eight hundred eighty-two thousand, eight hundred seventy-nine".