36361260 has 144 divisors (see below), whose sum is σ = 121998240. Its totient is φ = 8709120.

The previous prime is 36361223. The next prime is 36361261. The reversal of 36361260 is 6216363.

36361260 is a `hidden beast` number, since 3 + 636 + 1 + 26 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (36361261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95751 + ... + 96129.

It is an arithmetic number, because the mean of its divisors is an integer number (847210).

Almost surely, 2^36361260 is an apocalyptic number.

36361260 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 36361260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60999120).

36361260 is an abundant number, since it is smaller than the sum of its proper divisors (85636980).

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

36361260 is a wasteful number, since it uses less digits than its factorization.

36361260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36361260 is about 6030.0298506724. The cubic root of 36361260 is about 331.2935454798.

The spelling of 36361260 in words is "thirty-six million, three hundred sixty-one thousand, two hundred sixty".