3690 has 24 divisors (see below), whose sum is σ = 9828. Its totient is φ = 960.

The previous prime is 3677. The next prime is 3691. The reversal of 3690 is 963.

It can be written as a sum of positive squares in 2 ways, for example, as 3249 + 441 = 57^2 + 21^2 .

It is a super-2 number, since 2×3690² = 27232200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

3690 is an undulating number in base 9.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70 + ... + 110.

2³⁶⁹⁰ is an apocalyptic number.

3690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914).

3690 is an abundant number, since it is smaller than the sum of its proper divisors (6138).

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

3690 is a wasteful number, since it uses less digits than its factorization.

3690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3690 is about 60.7453701939. The cubic root of 3690 is about 15.4528571082.

It can be divided in two parts, 36 and 90, that multiplied together give a triangular number (3240 = T₈₀).

The spelling of 3690 in words is "three thousand, six hundred ninety".