3856824 has 96 divisors (see below), whose sum is σ = 11625120. Its totient is φ = 1148928.

The previous prime is 3856823. The next prime is 3856837. The reversal of 3856824 is 4286583.

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 d-powerful number, because it can be written as 3¹³ + 8² + 5⁹ + 6⁶ + 8⁶ + 2⁸ + 4⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3856823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28084 + ... + 28220.

It is an arithmetic number, because the mean of its divisors is an integer number (121095).

Almost surely, 2^3856824 is an apocalyptic number.

3856824 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3856824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812560).

3856824 is an abundant number, since it is smaller than the sum of its proper divisors (7768296).

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

3856824 is a wasteful number, since it uses less digits than its factorization.

3856824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3856824 is about 1963.8798333910. The cubic root of 3856824 is about 156.8230659875.

The spelling of 3856824 in words is "three million, eight hundred fifty-six thousand, eight hundred twenty-four".