3960100 has 27 divisors (see below), whose sum is σ = 8636817. Its totient is φ = 1576080.

The previous prime is 3960083. The next prime is 3960101. The reversal of 3960100 is 10693.

The square root of 3960100 is 1990.

It is a perfect power (a square), and thus also a powerful number.

3960100 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 only one way, i.e., 1425636 + 2534464 = 1194^2 + 1592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3960101) 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 8 ways as a sum of consecutive naturals, for example, 19801 + ... + 19999.

Almost surely, 2^3960100 is an apocalyptic number.

3960100 is the 1990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960100

3960100 is an abundant number, since it is smaller than the sum of its proper divisors (4676717).

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

3960100 is a wasteful number, since it uses less digits than its factorization.

3960100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The cubic root of 3960100 is about 158.2105295853.

Adding to 3960100 its reverse (10693), we get a palindrome (3970793).

The spelling of 3960100 in words is "three million, nine hundred sixty thousand, one hundred".