3967940 has 12 divisors (see below), whose sum is σ = 8332716. Its totient is φ = 1587168.

The previous prime is 3967913. The next prime is 3967961. The reversal of 3967940 is 497693.

3967940 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 2 ways, for example, as 1098304 + 2869636 = 1048^2 + 1694^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3967894 and 3967903.

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, 99179 + ... + 99218.

It is an arithmetic number, because the mean of its divisors is an integer number (694393).

Almost surely, 2^3967940 is an apocalyptic number.

It is an amenable number.

3967940 is an abundant number, since it is smaller than the sum of its proper divisors (4364776).

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

3967940 is a wasteful number, since it uses less digits than its factorization.

3967940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198406 (or 198404 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 3967940 is about 1991.9688752588. The cubic root of 3967940 is about 158.3148664212.

The spelling of 3967940 in words is "three million, nine hundred sixty-seven thousand, nine hundred forty".