3924864 has 48 divisors (see below), whose sum is σ = 11297520. Its totient is φ = 1307904.

The previous prime is 3924863. The next prime is 3924871. The reversal of 3924864 is 4684293.

It is a happy number.

3924864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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 (3924863) 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 5 ways as a sum of consecutive naturals, for example, 552 + ... + 2855.

It is an arithmetic number, because the mean of its divisors is an integer number (235365).

Almost surely, 2^3924864 is an apocalyptic number.

It is an amenable number.

3924864 is an abundant number, since it is smaller than the sum of its proper divisors (7372656).

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

3924864 is a wasteful number, since it uses less digits than its factorization.

3924864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3412 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3924864 is about 1981.1269520149. The cubic root of 3924864 is about 157.7398914227.

Adding to 3924864 its product of digits (41472), we get a triangular number (3966336 = T₂₈₁₆).

The spelling of 3924864 in words is "three million, nine hundred twenty-four thousand, eight hundred sixty-four".