3921424 has 40 divisors (see below), whose sum is σ = 8671320. Its totient is φ = 1701888.

The previous prime is 3921413. The next prime is 3921451. The reversal of 3921424 is 4241293.

3921424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 3920400 = 32^2 + 1980^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 2982 + ... + 4090.

It is an arithmetic number, because the mean of its divisors is an integer number (216783).

Almost surely, 2^3921424 is an apocalyptic number.

3921424 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 3921424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335660).

3921424 is an abundant number, since it is smaller than the sum of its proper divisors (4749896).

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

3921424 is a wasteful number, since it uses less digits than its factorization.

3921424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1141 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 3921424 is about 1980.2585689753. The cubic root of 3921424 is about 157.6937935338.

The spelling of 3921424 in words is "three million, nine hundred twenty-one thousand, four hundred twenty-four".