3971600 has 30 divisors (see below), whose sum is σ = 9542730. Its totient is φ = 1588480.

The previous prime is 3971599. The next prime is 3971621. The reversal of 3971600 is 61793.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 35344 + 3936256 = 188^2 + 1984^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3971600.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4565 + ... + 5364.

It is an arithmetic number, because the mean of its divisors is an integer number (318091).

Almost surely, 2^3971600 is an apocalyptic number.

It is an amenable number.

3971600 is an abundant number, since it is smaller than the sum of its proper divisors (5571130).

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

3971600 is a wasteful number, since it uses less digits than its factorization.

3971600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9947 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 3971600 is about 1992.8873525616. The cubic root of 3971600 is about 158.3635276364.

The spelling of 3971600 in words is "three million, nine hundred seventy-one thousand, six hundred".