3924640 has 48 divisors (see below), whose sum is σ = 9767520. Its totient is φ = 1486080.

The previous prime is 3924617. The next prime is 3924649. The reversal of 3924640 is 464293.

3924640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3924599 and 3924608.

It is not an unprimeable number, because it can be changed into a prime (3924649) 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, 2395 + ... + 3685.

It is an arithmetic number, because the mean of its divisors is an integer number (203490).

Almost surely, 2^3924640 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 3924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883760).

3924640 is an abundant number, since it is smaller than the sum of its proper divisors (5842880).

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

3924640 is a wasteful number, since it uses less digits than its factorization.

3924640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 3924640 is about 1981.0704177288. The cubic root of 3924640 is about 157.7368905198.

The spelling of 3924640 in words is "three million, nine hundred twenty-four thousand, six hundred forty".