3691638 has 48 divisors (see below), whose sum is σ = 8607456. Its totient is φ = 1140480.

The previous prime is 3691627. The next prime is 3691657. The reversal of 3691638 is 8361963.

It is a happy number.

3691638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3691638² = 27256382246088, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁴ + 6² + 9 + 1 + 6² + 3¹³ + 8⁷ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15198 + ... + 15438.

It is an arithmetic number, because the mean of its divisors is an integer number (179322).

Almost surely, 2^3691638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3691638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303728).

3691638 is an abundant number, since it is smaller than the sum of its proper divisors (4915818).

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

3691638 is a wasteful number, since it uses less digits than its factorization.

3691638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 306 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3691638 is about 1921.3635782954. The cubic root of 3691638 is about 154.5514329028.

The spelling of 3691638 in words is "three million, six hundred ninety-one thousand, six hundred thirty-eight".