3800900 has 36 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 1504800.

The previous prime is 3800887. The next prime is 3800917. The reversal of 3800900 is 90083.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19001 + ... + 19199.

Almost surely, 2^3800900 is an apocalyptic number.

3800900 is the 1592-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3800900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166400).

3800900 is an abundant number, since it is smaller than the sum of its proper divisors (4531900).

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

3800900 is a wasteful number, since it uses less digits than its factorization.

3800900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 3800900 is about 1949.5897004242. The cubic root of 3800900 is about 156.0613937621.

Adding to 3800900 its reverse (90083), we get a palindrome (3890983).

The spelling of 3800900 in words is "three million, eight hundred thousand, nine hundred".