3957668 has 72 divisors (see below), whose sum is σ = 8915256. Its totient is φ = 1520640.

The previous prime is 3957647. The next prime is 3957671. The reversal of 3957668 is 8667593.

3957668 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 4 ways, for example, as 1162084 + 2795584 = 1078^2 + 1672^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (272160) is a multiple of the sum of its prime divisors (80).

It is a nialpdrome in base 13.

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 23 ways as a sum of consecutive naturals, for example, 106946 + ... + 106982.

It is an arithmetic number, because the mean of its divisors is an integer number (123823).

Almost surely, 2^3957668 is an apocalyptic number.

It is an amenable number.

3957668 is an abundant number, since it is smaller than the sum of its proper divisors (4957588).

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

3957668 is a wasteful number, since it uses less digits than its factorization.

3957668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 80 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The square root of 3957668 is about 1989.3888508786. The cubic root of 3957668 is about 158.1781358916.

The spelling of 3957668 in words is "three million, nine hundred fifty-seven thousand, six hundred sixty-eight".