3829248 has 80 divisors (see below), whose sum is σ = 11375760. Its totient is φ = 1271808.

The previous prime is 3829237. The next prime is 3829253. The reversal of 3829248 is 8429283.

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

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 3¹³ + 8 + 2⁷ + 9⁴ + 2¹⁷ + 4 + 8⁷ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13686 + ... + 13962.

It is an arithmetic number, because the mean of its divisors is an integer number (142197).

Almost surely, 2^3829248 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 3829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687880).

3829248 is an abundant number, since it is smaller than the sum of its proper divisors (7546512).

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

3829248 is an equidigital number, since it uses as much as digits as its factorization.

3829248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 282 counting only the distinct ones).

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

The square root of 3829248 is about 1956.8464426214. The cubic root of 3829248 is about 156.4484139642.

The spelling of 3829248 in words is "three million, eight hundred twenty-nine thousand, two hundred forty-eight".