36288480 has 192 divisors, whose sum is σ = 126282240. Its totient is φ = 8718336.

The previous prime is 36288479. The next prime is 36288487. The reversal of 36288480 is 8488263.

36288480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36288487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209674 + ... + 209846.

It is an arithmetic number, because the mean of its divisors is an integer number (657720).

Almost surely, 2^36288480 is an apocalyptic number.

36288480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

36288480 is an abundant number, since it is smaller than the sum of its proper divisors (89993760).

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

36288480 is a wasteful number, since it uses less digits than its factorization.

36288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 36288480 is about 6023.9920318672. The cubic root of 36288480 is about 331.0723609075.

The spelling of 36288480 in words is "thirty-six million, two hundred eighty-eight thousand, four hundred eighty".