3924192 has 48 divisors (see below), whose sum is σ = 10562832. Its totient is φ = 1274880.

The previous prime is 3924187. The next prime is 3924199. The reversal of 3924192 is 2914293.

3924192 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3924199) 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, 3438 + ... + 4434.

It is an arithmetic number, because the mean of its divisors is an integer number (220059).

Almost surely, 2^3924192 is an apocalyptic number.

3924192 is a gapful number since it is divisible by the number (32) 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 3924192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281416).

3924192 is an abundant number, since it is smaller than the sum of its proper divisors (6638640).

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

3924192 is a wasteful number, since it uses less digits than its factorization.

3924192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1043 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 3924192 is about 1980.9573443161. The cubic root of 3924192 is about 157.7308883713.

The spelling of 3924192 in words is "three million, nine hundred twenty-four thousand, one hundred ninety-two".