3905648 has 40 divisors (see below), whose sum is σ = 8155728. Its totient is φ = 1805312.

The previous prime is 3905641. The next prime is 3905651. The reversal of 3905648 is 8465093.

3905648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3905641) 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, 22490 + ... + 22662.

Almost surely, 2^3905648 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 3905648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077864).

3905648 is an abundant number, since it is smaller than the sum of its proper divisors (4250080).

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

3905648 is a wasteful number, since it uses less digits than its factorization.

3905648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 3905648 is about 1976.2712364450. The cubic root of 3905648 is about 157.4820404482.

The spelling of 3905648 in words is "three million, nine hundred five thousand, six hundred forty-eight".