3686742 has 32 divisors (see below), whose sum is σ = 8323200. Its totient is φ = 1209384.

The previous prime is 3686731. The next prime is 3686743. The reversal of 3686742 is 2476863.

It is a d-powerful number, because it can be written as 3¹² + 6² + 8⁷ + 6⁴ + 7² + 4¹⁰ + 2¹³ .

It is a junction number, because it is equal to n+sod(n) for n = 3686697 and 3686706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686743) 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, 3109 + ... + 4127.

It is an arithmetic number, because the mean of its divisors is an integer number (260100).

Almost surely, 2^3686742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161600).

3686742 is an abundant number, since it is smaller than the sum of its proper divisors (4636458).

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

3686742 is a wasteful number, since it uses less digits than its factorization.

3686742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1091 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 3686742 is about 1920.0890604344. The cubic root of 3686742 is about 154.4830785502.

The spelling of 3686742 in words is "three million, six hundred eighty-six thousand, seven hundred forty-two".