3997960 has 32 divisors (see below), whose sum is σ = 9077760. Its totient is φ = 1584576.

The previous prime is 3997933. The next prime is 3997963. The reversal of 3997960 is 697993.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3997963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4687 + ... + 5473.

It is an arithmetic number, because the mean of its divisors is an integer number (283680).

Almost surely, 2^3997960 is an apocalyptic number.

It is an amenable number.

3997960 is an abundant number, since it is smaller than the sum of its proper divisors (5079800).

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

3997960 is a wasteful number, since it uses less digits than its factorization.

3997960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 43.

The square root of 3997960 is about 1999.4899349584. The cubic root of 3997960 is about 158.7131147900.

The spelling of 3997960 in words is "three million, nine hundred ninety-seven thousand, nine hundred sixty".