3735 has 12 divisors (see below), whose sum is σ = 6552. Its totient is φ = 1968.

The previous prime is 3733. The next prime is 3739. The reversal of 3735 is 5373.

3735 is nontrivially palindromic in base 2 and base 8.

It is not a de Polignac number, because 3735 - 2¹ = 3733 is a prime.

It is a nialpdrome in base 9 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4 + ... + 86.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

2³⁷³⁵ is an apocalyptic number.

3735 is a deficient number, since it is larger than the sum of its proper divisors (2817).

3735 is a wasteful number, since it uses less digits than its factorization.

3735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 91 counting only the distinct ones).

The product of its digits is 315, while the sum is 18.

The square root of 3735 is about 61.1146463624. The cubic root of 3735 is about 15.5154199650.

It can be divided in two parts, 373 and 5, that added together give a triangular number (378 = T₂₇).

The spelling of 3735 in words is "three thousand, seven hundred thirty-five".