3930 has 16 divisors (see below), whose sum is σ = 9504. Its totient is φ = 1040.

The previous prime is 3929. The next prime is 3931. The reversal of 3930 is 393.

3930 = 26² + 27² + ... + 30².

It is an interprime number because it is at equal distance from previous prime (3929) and next prime (3931).

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a plaindrome in base 12.

It is a nialpdrome in base 8.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36 + ... + 95.

It is an arithmetic number, because the mean of its divisors is an integer number (594).

2³⁹³⁰ is an apocalyptic number.

3930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3930 is an abundant number, since it is smaller than the sum of its proper divisors (5574).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752).

3930 is a wasteful number, since it uses less digits than its factorization.

3930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 3930 is about 62.6897120746. The cubic root of 3930 is about 15.7808666541.

3930 divided by its sum of digits (15) gives a palindrome (262).

The spelling of 3930 in words is "three thousand, nine hundred thirty".