36480224 has 48 divisors (see below), whose sum is σ = 80495856. Its totient is φ = 16128000.

The previous prime is 36480193. The next prime is 36480239. The reversal of 36480224 is 42208463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11624 + ... + 14424.

It is an arithmetic number, because the mean of its divisors is an integer number (1676997).

Almost surely, 2^36480224 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 36480224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40247928).

36480224 is an abundant number, since it is smaller than the sum of its proper divisors (44015632).

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

36480224 is a wasteful number, since it uses less digits than its factorization.

36480224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2851 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 36480224 is about 6039.8860916411. The cubic root of 36480224 is about 331.6544524961.

Adding to 36480224 its reverse (42208463), we get a palindrome (78688687).

The spelling of 36480224 in words is "thirty-six million, four hundred eighty thousand, two hundred twenty-four".