36495360 has 280 divisors, whose sum is σ = 142728696. Its totient is φ = 8847360.

The previous prime is 36495343. The next prime is 36495367. The reversal of 36495360 is 6359463.

36495360 is a `hidden beast` number, since 3 + 649 + 5 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×36495360² = 2663822603059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36495367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317755 + ... + 3317765.

Almost surely, 2^36495360 is an apocalyptic number.

36495360 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 36495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71364348).

36495360 is an abundant number, since it is smaller than the sum of its proper divisors (106233336).

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

36495360 is an equidigital number, since it uses as much as digits as its factorization.

36495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 36495360 is about 6041.1389654601. The cubic root of 36495360 is about 331.7003150405.

It can be divided in two parts, 3649 and 5360, that added together give a palindrome (9009).

The spelling of 36495360 in words is "thirty-six million, four hundred ninety-five thousand, three hundred sixty".