36448 has 24 divisors (see below), whose sum is σ = 77112. Its totient is φ = 16896.

The previous prime is 36433. The next prime is 36451. The reversal of 36448 is 84463.

It is a plaindrome in base 13.

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 36448.

It is an unprimeable number.

36448 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 3 ways as a sum of consecutive naturals, for example, 511 + ... + 577.

It is an arithmetic number, because the mean of its divisors is an integer number (3213).

2³⁶⁴⁴⁸ 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 36448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38556).

36448 is an abundant number, since it is smaller than the sum of its proper divisors (40664).

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

36448 is a wasteful number, since it uses less digits than its factorization.

36448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 86 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 36448 is about 190.9135930205. The cubic root of 36448 is about 33.1556770517.

It can be divided in two parts, 36 and 448, that added together give a palindrome (484).

The spelling of 36448 in words is "thirty-six thousand, four hundred forty-eight".