3881984 has 44 divisors (see below), whose sum is σ = 8253504. Its totient is φ = 1818624.

The previous prime is 3881959. The next prime is 3881987. The reversal of 3881984 is 4891883.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3881987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17297 + ... + 17519.

Almost surely, 2^3881984 is an apocalyptic number.

3881984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126752).

3881984 is an abundant number, since it is smaller than the sum of its proper divisors (4371520).

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

3881984 is a wasteful number, since it uses less digits than its factorization.

3881984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 3881984 is about 1970.2751076944. The cubic root of 3881984 is about 157.1633390068.

The spelling of 3881984 in words is "three million, eight hundred eighty-one thousand, nine hundred eighty-four".