36348544 has 32 divisors (see below), whose sum is σ = 72828000. Its totient is φ = 18070272.

The previous prime is 36348527. The next prime is 36348547. The reversal of 36348544 is 44584363.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (36348547) 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, 24759 + ... + 26185.

It is an arithmetic number, because the mean of its divisors is an integer number (2275875).

Almost surely, 2^36348544 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 36348544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36414000).

36348544 is an abundant number, since it is smaller than the sum of its proper divisors (36479456).

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

36348544 is a wasteful number, since it uses less digits than its factorization.

36348544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1628 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The square root of 36348544 is about 6028.9753689993. The cubic root of 36348544 is about 331.2549217733.

The spelling of 36348544 in words is "thirty-six million, three hundred forty-eight thousand, five hundred forty-four".