3849984 has 72 divisors (see below), whose sum is σ = 11405520. Its totient is φ = 1281024.

The previous prime is 3849977. The next prime is 3849997. The reversal of 3849984 is 4899483.

It is a happy number.

3849984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6634 + ... + 7190.

It is an arithmetic number, because the mean of its divisors is an integer number (158410).

Almost surely, 2^3849984 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 3849984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702760).

3849984 is an abundant number, since it is smaller than the sum of its proper divisors (7555536).

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

3849984 is an equidigital number, since it uses as much as digits as its factorization.

3849984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 562 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3849984 is about 1962.1376098531. The cubic root of 3849984 is about 156.7303036079.

It can be divided in two parts, 38499 and 84, that added together give a palindrome (38583).

The spelling of 3849984 in words is "three million, eight hundred forty-nine thousand, nine hundred eighty-four".