3829344 has 48 divisors (see below), whose sum is σ = 10169712. Its totient is φ = 1261568.

The previous prime is 3829333. The next prime is 3829351. The reversal of 3829344 is 4439283.

3829344 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 (48).

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, 10672 + ... + 11024.

It is an arithmetic number, because the mean of its divisors is an integer number (211869).

Almost surely, 2^3829344 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 3829344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084856).

3829344 is an abundant number, since it is smaller than the sum of its proper divisors (6340368).

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

3829344 is a wasteful number, since it uses less digits than its factorization.

3829344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3829344 is about 1956.8709717301. The cubic root of 3829344 is about 156.4497213507.

The spelling of 3829344 in words is "three million, eight hundred twenty-nine thousand, three hundred forty-four".