3830 has 8 divisors (see below), whose sum is σ = 6912. Its totient is φ = 1528.

The previous prime is 3823. The next prime is 3833. The reversal of 3830 is 383.

It is a happy number.

3830 is nontrivially palindromic in base 9.

It is a sphenic number, since it is the product of 3 distinct primes.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3830.

It is not an unprimeable number, because it can be changed into a prime (3833) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 182 + ... + 201.

It is an arithmetic number, because the mean of its divisors is an integer number (864).

2³⁸³⁰ is an apocalyptic number.

3830 is a deficient number, since it is larger than the sum of its proper divisors (3082).

3830 is a wasteful number, since it uses less digits than its factorization.

3830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3830 is about 61.8869937871. The cubic root of 3830 is about 15.6458654574.

Adding to 3830 its sum of digits (14), we get a square (3844 = 62²).

The spelling of 3830 in words is "three thousand, eight hundred thirty".