3441984 has 112 divisors (see below), whose sum is σ = 11265408. Its totient is φ = 903168.

The previous prime is 3441967. The next prime is 3441989. The reversal of 3441984 is 4891443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17374 + ... + 17570.

It is an arithmetic number, because the mean of its divisors is an integer number (100584).

Almost surely, 2^3441984 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 3441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632704).

3441984 is an abundant number, since it is smaller than the sum of its proper divisors (7823424).

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

3441984 is a wasteful number, since it uses less digits than its factorization.

3441984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 3441984 is about 1855.2584725585. The cubic root of 3441984 is about 150.9858618694.

The spelling of 3441984 in words is "three million, four hundred forty-one thousand, nine hundred eighty-four".