3840928 has 48 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 1518336.

The previous prime is 3840923. The next prime is 3840953. The reversal of 3840928 is 8290483.

3840928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3840893 and 3840902.

It is not an unprimeable number, because it can be changed into a prime (3840923) 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, 2253 + ... + 3571.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 2^3840928 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 3840928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3840928 is an abundant number, since it is smaller than the sum of its proper divisors (5472992).

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

3840928 is a wasteful number, since it uses less digits than its factorization.

3840928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 3840928 is about 1959.8285639310. The cubic root of 3840928 is about 156.6073192042.

The spelling of 3840928 in words is "three million, eight hundred forty thousand, nine hundred twenty-eight".