3884100 has 108 divisors (see below), whose sum is σ = 12467952. Its totient is φ = 932800.

The previous prime is 3884099. The next prime is 3884117. The reversal of 3884100 is 14883.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36247 + ... + 36353.

It is an arithmetic number, because the mean of its divisors is an integer number (115444).

Almost surely, 2^3884100 is an apocalyptic number.

3884100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3884100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976).

3884100 is an abundant number, since it is smaller than the sum of its proper divisors (8583852).

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

3884100 is a wasteful number, since it uses less digits than its factorization.

3884100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 3884100 is about 1970.8120153886. The cubic root of 3884100 is about 157.1918894611.

Adding to 3884100 its reverse (14883), we get a palindrome (3898983).

The spelling of 3884100 in words is "three million, eight hundred eighty-four thousand, one hundred".