3119904 has 96 divisors (see below), whose sum is σ = 9555840. Its totient is φ = 988416.

The previous prime is 3119903. The next prime is 3119923. The reversal of 3119904 is 4099113.

3119904 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3119903) 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 15 ways as a sum of consecutive naturals, for example, 19794 + ... + 19950.

It is an arithmetic number, because the mean of its divisors is an integer number (99540).

Almost surely, 2^3119904 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 3119904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777920).

3119904 is an abundant number, since it is smaller than the sum of its proper divisors (6435936).

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

3119904 is a wasteful number, since it uses less digits than its factorization.

3119904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 3119904 is about 1766.3249984077. The cubic root of 3119904 is about 146.1213727698.

The spelling of 3119904 in words is "three million, one hundred nineteen thousand, nine hundred four".