3864100 has 36 divisors (see below), whose sum is σ = 8882244. Its totient is φ = 1454080.

The previous prime is 3864097. The next prime is 3864101. The reversal of 3864100 is 14683.

It can be written as a sum of positive squares in 6 ways, for example, as 200704 + 3663396 = 448^2 + 1914^2 .

It is not an unprimeable number, because it can be changed into a prime (3864101) 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, 564 + ... + 2836.

It is an arithmetic number, because the mean of its divisors is an integer number (246729).

Almost surely, 2^3864100 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 3864100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441122).

3864100 is an abundant number, since it is smaller than the sum of its proper divisors (5018144).

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

3864100 is a wasteful number, since it uses less digits than its factorization.

3864100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3864100 is about 1965.7314160383. The cubic root of 3864100 is about 156.9216209853.

Adding to 3864100 its reverse (14683), we get a palindrome (3878783).

The spelling of 3864100 in words is "three million, eight hundred sixty-four thousand, one hundred".