3829824 has 84 divisors (see below), whose sum is σ = 11259820. Its totient is φ = 1244160.

The previous prime is 3829823. The next prime is 3829829. The reversal of 3829824 is 4289283.

It can be written as a sum of positive squares in 2 ways, for example, as 1166400 + 2663424 = 1080^2 + 1632^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829823) 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, 35082 + ... + 35190.

Almost surely, 2^3829824 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 3829824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629910).

3829824 is an abundant number, since it is smaller than the sum of its proper divisors (7429996).

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

3829824 is a wasteful number, since it uses less digits than its factorization.

3829824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

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

The square root of 3829824 is about 1956.9936126620. The cubic root of 3829824 is about 156.4562579559.

The spelling of 3829824 in words is "three million, eight hundred twenty-nine thousand, eight hundred twenty-four".