4638 has 8 divisors (see below), whose sum is σ = 9288. Its totient is φ = 1544.

The previous prime is 4637. The next prime is 4639. The reversal of 4638 is 8364.

It is an interprime number because it is at equal distance from previous prime (4637) and next prime (4639).

It is a sphenic number, since it is the product of 3 distinct primes.

4638 is an admirable number.

It is a super-2 number, since 2×4638² = 43022088, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 381 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (1161).

2⁴⁶³⁸ is an apocalyptic number.

4638 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644).

4638 is a wasteful number, since it uses less digits than its factorization.

4638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778.

The product of its digits is 576, while the sum is 21.

The square root of 4638 is about 68.1028633759. The cubic root of 4638 is about 16.6767050637.

It can be divided in two parts, 4 and 638, that multiplied together give a palindrome (2552).

The spelling of 4638 in words is "four thousand, six hundred thirty-eight".