36288576 has 63 divisors (see below), whose sum is σ = 104430703. Its totient is φ = 12048000.

The previous prime is 36288563. The next prime is 36288583. The reversal of 36288576 is 67588263.

The square root of 36288576 is 6024.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (483840) is a multiple of the sum of its prime divisors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 144451 + ... + 144701.

Almost surely, 2^36288576 is an apocalyptic number.

36288576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

36288576 is the 6024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36288576

36288576 is an abundant number, since it is smaller than the sum of its proper divisors (68142127).

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

36288576 is an equidigital number, since it uses as much as digits as its factorization.

36288576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 256 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The cubic root of 36288576 is about 331.0726528544.

It can be divided in two parts, 36288 and 576, that added together give a square (36864 = 192²).

The spelling of 36288576 in words is "thirty-six million, two hundred eighty-eight thousand, five hundred seventy-six".