36360450 has 216 divisors, whose sum is σ = 121562532. Its totient is φ = 7741440.

The previous prime is 36360439. The next prime is 36360451. The reversal of 36360450 is 5406363.

36360450 is a `hidden beast` number, since 3 + 6 + 3 + 604 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 17464041 + 18896409 = 4179^2 + 4347^2 .

It is not an unprimeable number, because it can be changed into a prime (36360451) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 374802 + ... + 374898.

Almost surely, 2^36360450 is an apocalyptic number.

36360450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36360450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60781266).

36360450 is an abundant number, since it is smaller than the sum of its proper divisors (85202082).

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

36360450 is a wasteful number, since it uses less digits than its factorization.

36360450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 36360450 is about 6029.9626864517. The cubic root of 36360450 is about 331.2910854462.

The spelling of 36360450 in words is "thirty-six million, three hundred sixty thousand, four hundred fifty".