3800 has 24 divisors (see below), whose sum is σ = 9300. Its totient is φ = 1440.

The previous prime is 3797. The next prime is 3803. The reversal of 3800 is 83.

It is an interprime number because it is at equal distance from previous prime (3797) and next prime (3803).

It is a plaindrome in base 12 and base 14.

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 191 + ... + 209.

2³⁸⁰⁰ 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 3800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650).

3800 is an abundant number, since it is smaller than the sum of its proper divisors (5500).

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

3800 is a wasteful number, since it uses less digits than its factorization.

3800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 3800 is about 61.6441400297. The cubic root of 3800 is about 15.6049075071.

Adding to 3800 its reverse (83), we get a palindrome (3883).

The spelling of 3800 in words is "three thousand, eight hundred".