3900 has 36 divisors (see below), whose sum is σ = 12152. Its totient is φ = 960.

The previous prime is 3889. The next prime is 3907. The reversal of 3900 is 93.

3900 is nontrivially palindromic in base 7.

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

3900 is an undulating number in base 8.

It is a nialpdrome in base 5.

It is a zygodrome in base 2 and base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3907) by changing a digit.

3900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294 + ... + 306.

2³⁹⁰⁰ is an apocalyptic number.

3900 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 3900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076).

3900 is an abundant number, since it is smaller than the sum of its proper divisors (8252).

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

3900 is a wasteful number, since it uses less digits than its factorization.

3900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 3900 is about 62.4499799840. The cubic root of 3900 is about 15.7406091663.

3900 divided by its sum of digits (12) gives a triangular number (325 = T₂₅).

Adding to 3900 its reverse (93), we get a palindrome (3993).

It can be divided in two parts, 3 and 900, that added together give a triangular number (903 = T₄₂).

The spelling of 3900 in words is "three thousand, nine hundred".