3828744 has 48 divisors (see below), whose sum is σ = 10630620. Its totient is φ = 1244160.

The previous prime is 3828743. The next prime is 3828749. The reversal of 3828744 is 4478283.

It can be written as a sum of positive squares in 2 ways, for example, as 3802500 + 26244 = 1950^2 + 162^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 3828699 and 3828708.

It is not an unprimeable number, because it can be changed into a prime (3828743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2304 + ... + 3600.

Almost surely, 2^3828744 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 3828744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315310).

3828744 is an abundant number, since it is smaller than the sum of its proper divisors (6801876).

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

3828744 is a wasteful number, since it uses less digits than its factorization.

3828744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1343 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 3828744 is about 1956.7176597557. The cubic root of 3828744 is about 156.4415498262.

It can be divided in two parts, 38 and 28744, that added together give a palindrome (28782).

The spelling of 3828744 in words is "three million, eight hundred twenty-eight thousand, seven hundred forty-four".