3821800 has 48 divisors (see below), whose sum is σ = 9022860. Its totient is φ = 1505280.

The previous prime is 3821791. The next prime is 3821801. The reversal of 3821800 is 81283.

It can be written as a sum of positive squares in 6 ways, for example, as 2490084 + 1331716 = 1578^2 + 1154^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3821801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19302 + ... + 19498.

Almost surely, 2^3821800 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 3821800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511430).

3821800 is an abundant number, since it is smaller than the sum of its proper divisors (5201060).

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

3821800 is a wasteful number, since it uses less digits than its factorization.

3821800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 3821800 is about 1954.9424543960. The cubic root of 3821800 is about 156.3469158744.

The spelling of 3821800 in words is "three million, eight hundred twenty-one thousand, eight hundred".