3820200 has 48 divisors (see below), whose sum is σ = 11844480. Its totient is φ = 1018560.

The previous prime is 3820181. The next prime is 3820237. The reversal of 3820200 is 20283.

3820200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3820200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2584 + ... + 3783.

It is an arithmetic number, because the mean of its divisors is an integer number (246760).

Almost surely, 2^3820200 is an apocalyptic number.

3820200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3820200 is an abundant number, since it is smaller than the sum of its proper divisors (8024280).

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

3820200 is a wasteful number, since it uses less digits than its factorization.

3820200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6386 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3820200 is about 1954.5331923505. The cubic root of 3820200 is about 156.3250945700.

Adding to 3820200 its reverse (20283), we get a palindrome (3840483).

The spelling of 3820200 in words is "three million, eight hundred twenty thousand, two hundred".