3844100 has 36 divisors (see below), whose sum is σ = 8986404. Its totient is φ = 1418880.

The previous prime is 3844097. The next prime is 3844109. The reversal of 3844100 is 14483.

It can be written as a sum of positive squares in 6 ways, for example, as 906304 + 2937796 = 952^2 + 1714^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3844109) 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, 179 + ... + 2778.

Almost surely, 2^3844100 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 3844100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493202).

3844100 is an abundant number, since it is smaller than the sum of its proper divisors (5142304).

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

3844100 is a wasteful number, since it uses less digits than its factorization.

3844100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3844100 is about 1960.6376513777. The cubic root of 3844100 is about 156.6504183139.

Adding to 3844100 its reverse (14483), we get a palindrome (3858583).

The spelling of 3844100 in words is "three million, eight hundred forty-four thousand, one hundred".