3788200 has 96 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 1324800.

The previous prime is 3788159. The next prime is 3788209. The reversal of 3788200 is 28873.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3788209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80577 + ... + 80623.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

Almost surely, 2^3788200 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 3788200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

3788200 is an abundant number, since it is smaller than the sum of its proper divisors (6211160).

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

3788200 is a wasteful number, since it uses less digits than its factorization.

3788200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 3788200 is about 1946.3298795425. The cubic root of 3788200 is about 155.8873831085.

The spelling of 3788200 in words is "three million, seven hundred eighty-eight thousand, two hundred".