3882984 has 64 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 1069824.

The previous prime is 3882959. The next prime is 3883001. The reversal of 3882984 is 4892883.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4474 + ... + 5270.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^3882984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3882984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

3882984 is an abundant number, since it is smaller than the sum of its proper divisors (7608216).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3882984 is a wasteful number, since it uses less digits than its factorization.

3882984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 838 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 3882984 is about 1970.5288630213. The cubic root of 3882984 is about 157.1768329527.

It can be divided in two parts, 38829 and 84, that multiplied together give a square (3261636 = 1806²).

The spelling of 3882984 in words is "three million, eight hundred eighty-two thousand, nine hundred eighty-four".