36385280 has 80 divisors (see below), whose sum is σ = 89050104. Its totient is φ = 14254080.

The previous prime is 36385277. The next prime is 36385301. The reversal of 36385280 is 8258363.

It can be written as a sum of positive squares in 4 ways, for example, as 13191424 + 23193856 = 3632^2 + 4816^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 36385280.

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, 156044 + ... + 156276.

Almost surely, 2^36385280 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 36385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44525052).

36385280 is an abundant number, since it is smaller than the sum of its proper divisors (52664824).

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

36385280 is an equidigital number, since it uses as much as digits as its factorization.

36385280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 36385280 is about 6032.0212201218. The cubic root of 36385280 is about 331.3664795067.

The spelling of 36385280 in words is "thirty-six million, three hundred eighty-five thousand, two hundred eighty".