3675 has 18 divisors (see below), whose sum is σ = 7068. Its totient is φ = 1680.

The previous prime is 3673. The next prime is 3677. The reversal of 3675 is 5763.

3675 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (3673) and next prime (3677).

It is not a de Polignac number, because 3675 - 2^{1} = 3673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

Its product of digits (630) is a multiple of the sum of its prime divisors (15).

3675 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (3671) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 522 + ... + 528.

2^{3675} is an apocalyptic number.

3675 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3675 is a deficient number, since it is larger than the sum of its proper divisors (3393).

3675 is a wasteful number, since it uses less digits than its factorization.

3675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 15 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 3675 is about 60.6217782649. The cubic root of 3675 is about 15.4318898408.

It can be divided in two parts, 36 and 75, that added together give a palindrome (111).

The spelling of 3675 in words is "three thousand, six hundred seventy-five".

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