3988100 has 36 divisors (see below), whose sum is σ = 9114000. Its totient is φ = 1510560.

The previous prime is 3988097. The next prime is 3988129. The reversal of 3988100 is 18893.

3988100 = 236² + 237² + ... + 292².

It is a happy number.

3988100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3988100² = 31809883220000, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 851 + ... + 2949.

Almost surely, 2^3988100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3988100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557000).

3988100 is an abundant number, since it is smaller than the sum of its proper divisors (5125900).

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

3988100 is a wasteful number, since it uses less digits than its factorization.

3988100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 3988100 is about 1997.0227840463. The cubic root of 3988100 is about 158.5825315619.

The spelling of 3988100 in words is "three million, nine hundred eighty-eight thousand, one hundred".