3938800 has 60 divisors (see below), whose sum is σ = 9725320. Its totient is φ = 1532160.

The previous prime is 3938791. The next prime is 3938821. The reversal of 3938800 is 88393.

3938800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

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 11 ways as a sum of consecutive naturals, for example, 17086 + ... + 17314.

Almost surely, 2^3938800 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 3938800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862660).

3938800 is an abundant number, since it is smaller than the sum of its proper divisors (5786520).

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

3938800 is a wasteful number, since it uses less digits than its factorization.

3938800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 3938800 is about 1984.6410254754. The cubic root of 3938800 is about 157.9263663731.

The spelling of 3938800 in words is "three million, nine hundred thirty-eight thousand, eight hundred".