3627666 has 60 divisors (see below), whose sum is σ = 9476478. Its totient is φ = 1034208.

The previous prime is 3627661. The next prime is 3627671. The reversal of 3627666 is 6667263.

It is an interprime number because it is at equal distance from previous prime (3627661) and next prime (3627671).

It can be written as a sum of positive squares in only one way, i.e., 2480625 + 1147041 = 1575^2 + 1071^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3627666.

It is not an unprimeable number, because it can be changed into a prime (3627661) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7710 + ... + 8166.

Almost surely, 2^3627666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3627666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738239).

3627666 is an abundant number, since it is smaller than the sum of its proper divisors (5848812).

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

3627666 is a wasteful number, since it uses less digits than its factorization.

3627666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 469 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3627666 is about 1904.6432736867. The cubic root of 3627666 is about 153.6534908912.

The spelling of 3627666 in words is "three million, six hundred twenty-seven thousand, six hundred sixty-six".