3829284 has 36 divisors (see below), whose sum is σ = 10250604. Its totient is φ = 1201152.

The previous prime is 3829283. The next prime is 3829289. The reversal of 3829284 is 4829283.

3829284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3504384 + 324900 = 1872^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹³ + 8³ + 2¹¹ + 9² + 2¹⁷ + 8⁷ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829283) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2517 + ... + 3740.

It is an arithmetic number, because the mean of its divisors is an integer number (284739).

Almost surely, 2^3829284 is an apocalyptic number.

3829284 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3829284 is an abundant number, since it is smaller than the sum of its proper divisors (6421320).

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

3829284 is a wasteful number, since it uses less digits than its factorization.

3829284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6279 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3829284 is about 1956.8556410732. The cubic root of 3829284 is about 156.4489042367.

Subtracting 3829284 from its reverse (4829283), we obtain a palindrome (999999).

The spelling of 3829284 in words is "three million, eight hundred twenty-nine thousand, two hundred eighty-four".