36350080 has 128 divisors (see below), whose sum is σ = 99474480. Its totient is φ = 12582912.

The previous prime is 36350057. The next prime is 36350081. The reversal of 36350080 is 8005363.

It can be written as a sum of positive squares in 8 ways, for example, as 25644096 + 10705984 = 5064^2 + 3272^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (36350081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141312 + ... + 141568.

Almost surely, 2^36350080 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 36350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49737240).

36350080 is an abundant number, since it is smaller than the sum of its proper divisors (63124400).

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

36350080 is a wasteful number, since it uses less digits than its factorization.

36350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 36350080 is about 6029.1027524832. The cubic root of 36350080 is about 331.2595877135.

The spelling of 36350080 in words is "thirty-six million, three hundred fifty thousand, eighty".