3795 has 16 divisors (see below), whose sum is σ = 6912. Its totient is φ = 1760.

The previous prime is 3793. The next prime is 3797. The reversal of 3795 is 5973.

3795 = 1² + 2² + ... + 22².

3795 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (3793) and next prime (3797).

It is not a de Polignac number, because 3795 - 2¹ = 3793 is a prime.

3795 is a lucky number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (432).

2³⁷⁹⁵ is an apocalyptic number.

3795 is a deficient number, since it is larger than the sum of its proper divisors (3117).

3795 is a wasteful number, since it uses less digits than its factorization.

3795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42.

The product of its digits is 945, while the sum is 24.

The square root of 3795 is about 61.6035713250. The cubic root of 3795 is about 15.5980602453.

Subtracting from 3795 its product of digits (945), we obtain a triangular number (2850 = T₇₅).

The spelling of 3795 in words is "three thousand, seven hundred ninety-five".