3986832100 has 36 divisors (see below), whose sum is σ = 8728011684. Its totient is φ = 1580615680.

The previous prime is 3986832071. The next prime is 3986832107. The reversal of 3986832100 is 12386893.

It can be written as a sum of positive squares in 6 ways, for example, as 707666404 + 3279165696 = 26602^2 + 57264^2 .

It is not an unprimeable number, because it can be changed into a prime (3986832107) 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 11 ways as a sum of consecutive naturals, for example, 165109 + ... + 187708.

It is an arithmetic number, because the mean of its divisors is an integer number (242444769).

Almost surely, 2^3986832100 is an apocalyptic number.

It is an amenable number.

3986832100 is an abundant number, since it is smaller than the sum of its proper divisors (4741179584).

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

3986832100 is a wasteful number, since it uses less digits than its factorization.

3986832100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352944 (or 352937 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 3986832100 is about 63141.3659972605. The cubic root of 3986832100 is about 1585.6572421806.

The spelling of 3986832100 in words is "three billion, nine hundred eighty-six million, eight hundred thirty-two thousand, one hundred".