3982872100 has 27 divisors (see below), whose sum is σ = 8644202161. Its totient is φ = 1592896400.

The previous prime is 3982872079. The next prime is 3982872107. The reversal of 3982872100 is 12782893.

The square root of 3982872100 is 63110.

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

It can be written as a sum of positive squares in only one way, i.e., 1433833956 + 2549038144 = 37866^2 + 50488^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3982872107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 627945 + ... + 634255.

Almost surely, 2^3982872100 is an apocalyptic number.

3982872100 is the 63110-th square number.

It is an amenable number.

3982872100 is an abundant number, since it is smaller than the sum of its proper divisors (4661330061).

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

3982872100 is an frugal number, since it uses more digits than its factorization.

3982872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12636 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The cubic root of 3982872100 is about 1585.1320731032.

The spelling of 3982872100 in words is "three billion, nine hundred eighty-two million, eight hundred seventy-two thousand, one hundred".