3988800 has 126 divisors (see below), whose sum is σ = 14228318. Its totient is φ = 1059840.

The previous prime is 3988783. The next prime is 3988823. The reversal of 3988800 is 88893.

3988800 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 3 ways, for example, as 20736 + 3968064 = 144^2 + 1992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 14262 + ... + 14538.

Almost surely, 2^3988800 is an apocalyptic number.

3988800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114159).

3988800 is an abundant number, since it is smaller than the sum of its proper divisors (10239518).

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

3988800 is a wasteful number, since it uses less digits than its factorization.

3988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3988800 is about 1997.1980372512. The cubic root of 3988800 is about 158.5918092695.

The spelling of 3988800 in words is "three million, nine hundred eighty-eight thousand, eight hundred".