3988900 has 36 divisors (see below), whose sum is σ = 8757252. Its totient is φ = 1576960.

The previous prime is 3988889. The next prime is 3988903. The reversal of 3988900 is 98893.

3988900 is a nontrivial binomial coefficient, being equal to C(2825, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 968256 + 3020644 = 984^2 + 1738^2 .

It is a super-2 number, since 2×3988900² = 31822646420000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3988900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3988903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11124 + ... + 11476.

It is an arithmetic number, because the mean of its divisors is an integer number (243257).

Almost surely, 2^3988900 is an apocalyptic number.

3988900 is the 2824-th triangular number.

3988900 is the 942-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3988900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4378626).

3988900 is an abundant number, since it is smaller than the sum of its proper divisors (4768352).

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

3988900 is a wasteful number, since it uses less digits than its factorization.

3988900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 3988900 is about 1997.2230721680. The cubic root of 3988900 is about 158.5931345677.

The spelling of 3988900 in words is "three million, nine hundred eighty-eight thousand, nine hundred".