36348 has 24 divisors (see below), whose sum is σ = 91728. Its totient is φ = 11136.

The previous prime is 36343. The next prime is 36353. The reversal of 36348 is 84363.

It is an interprime number because it is at equal distance from previous prime (36343) and next prime (36353).

It is a d-powerful number, because it can be written as 3⁴ + 6⁴ + 3⁷ + 4² + 8⁵ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36348.

It is not an unprimeable number, because it can be changed into a prime (36341) by changing a digit.

36348 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40 + ... + 272.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2³⁶³⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45864).

36348 is an abundant number, since it is smaller than the sum of its proper divisors (55380).

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

36348 is a wasteful number, since it uses less digits than its factorization.

36348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 36348 is about 190.6515145495. The cubic root of 36348 is about 33.1253269221.

It can be divided in two parts, 363 and 48, that multiplied together give a square (17424 = 132²).

The spelling of 36348 in words is "thirty-six thousand, three hundred forty-eight".