3800100 has 72 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 990080.

The previous prime is 3800081. The next prime is 3800107. The reversal of 3800100 is 10083.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3800107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15781 + ... + 16019.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^3800100 is an apocalyptic number.

3800100 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 3800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

3800100 is an abundant number, since it is smaller than the sum of its proper divisors (7449180).

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

3800100 is a wasteful number, since it uses less digits than its factorization.

3800100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3800100 is about 1949.3845182519. The cubic root of 3800100 is about 156.0504439103.

Adding to 3800100 its reverse (10083), we get a palindrome (3810183).

The spelling of 3800100 in words is "three million, eight hundred thousand, one hundred".