3973844 has 24 divisors (see below), whose sum is σ = 7990080. Its totient is φ = 1694016.

The previous prime is 3973829. The next prime is 3973847. The reversal of 3973844 is 4483793.

3973844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3973844² = 31582872272672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3973798 and 3973807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3973847) 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, 9512 + ... + 9920.

It is an arithmetic number, because the mean of its divisors is an integer number (332920).

Almost surely, 2^3973844 is an apocalyptic number.

It is an amenable number.

3973844 is an abundant number, since it is smaller than the sum of its proper divisors (4016236).

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

3973844 is a wasteful number, since it uses less digits than its factorization.

3973844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 765 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 3973844 is about 1993.4502752765. The cubic root of 3973844 is about 158.3933477634.

The spelling of 3973844 in words is "three million, nine hundred seventy-three thousand, eight hundred forty-four".