3828200 has 24 divisors (see below), whose sum is σ = 8901030. Its totient is φ = 1531200.

The previous prime is 3828169. The next prime is 3828217. The reversal of 3828200 is 28283.

It can be written as a sum of positive squares in 3 ways, for example, as 2910436 + 917764 = 1706^2 + 958^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9371 + ... + 9770.

Almost surely, 2^3828200 is an apocalyptic number.

It is an amenable number.

3828200 is an abundant number, since it is smaller than the sum of its proper divisors (5072830).

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

3828200 is a wasteful number, since it uses less digits than its factorization.

3828200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19157 (or 19148 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 3828200 is about 1956.5786465154. The cubic root of 3828200 is about 156.4341402393.

The spelling of 3828200 in words is "three million, eight hundred twenty-eight thousand, two hundred".