3882944 has 42 divisors (see below), whose sum is σ = 8366760. Its totient is φ = 1787136.

The previous prime is 3882941. The next prime is 3882947. The reversal of 3882944 is 4492883.

It is an interprime number because it is at equal distance from previous prime (3882941) and next prime (3882947).

It is a junction number, because it is equal to n+sod(n) for n = 3882898 and 3882907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882941) 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 5 ways as a sum of consecutive naturals, for example, 10637 + ... + 10995.

Almost surely, 2^3882944 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 3882944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183380).

3882944 is an abundant number, since it is smaller than the sum of its proper divisors (4483816).

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

3882944 is a wasteful number, since it uses less digits than its factorization.

3882944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 374 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 3882944 is about 1970.5187134356. The cubic root of 3882944 is about 157.1762932393.

It can be divided in two parts, 38829 and 44, that multiplied together give a triangular number (1708476 = T₁₈₄₈).

The spelling of 3882944 in words is "three million, eight hundred eighty-two thousand, nine hundred forty-four".