3873968 has 20 divisors (see below), whose sum is σ = 8578320. Its totient is φ = 1660224.

The previous prime is 3873941. The next prime is 3873983. The reversal of 3873968 is 8693783.

3873968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

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 3 ways as a sum of consecutive naturals, for example, 17183 + ... + 17406.

It is an arithmetic number, because the mean of its divisors is an integer number (428916).

Almost surely, 2^3873968 is an apocalyptic number.

It is an amenable number.

3873968 is an abundant number, since it is smaller than the sum of its proper divisors (4704352).

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

3873968 is a wasteful number, since it uses less digits than its factorization.

3873968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34604 (or 34598 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 3873968 is about 1968.2398227858. The cubic root of 3873968 is about 157.0550877048.

The spelling of 3873968 in words is "three million, eight hundred seventy-three thousand, nine hundred sixty-eight".