3682638 has 32 divisors (see below), whose sum is σ = 8363520. Its totient is φ = 1200600.

The previous prime is 3682607. The next prime is 3682639. The reversal of 3682638 is 8362863.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682639) 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, 1813 + ... + 3263.

It is an arithmetic number, because the mean of its divisors is an integer number (261360).

Almost surely, 2^3682638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181760).

3682638 is an abundant number, since it is smaller than the sum of its proper divisors (4680882).

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

3682638 is a wasteful number, since it uses less digits than its factorization.

3682638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1503 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3682638 is about 1919.0200624277. The cubic root of 3682638 is about 154.4257348801.

It can be divided in two parts, 36826 and 38, that added together give a square (36864 = 192²).

The spelling of 3682638 in words is "three million, six hundred eighty-two thousand, six hundred thirty-eight".