3824864 has 48 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 1757184.

The previous prime is 3824861. The next prime is 3824867. The reversal of 3824864 is 4684283.

3824864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3824861) and next prime (3824867).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3824861) 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 7 ways as a sum of consecutive naturals, for example, 42932 + ... + 43020.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 2^3824864 is an apocalyptic number.

3824864 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 3824864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

3824864 is an abundant number, since it is smaller than the sum of its proper divisors (4339936).

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

3824864 is a wasteful number, since it uses less digits than its factorization.

3824864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 3824864 is about 1955.7259521722. The cubic root of 3824864 is about 156.3886866793.

The spelling of 3824864 in words is "three million, eight hundred twenty-four thousand, eight hundred sixty-four".