36352080 has 120 divisors (see below), whose sum is σ = 126364680. Its totient is φ = 9354240.

The previous prime is 36352049. The next prime is 36352081. The reversal of 36352080 is 8025363.

36352080 is a `hidden beast` number, since 3 + 63 + 520 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 36288576 = 252^2 + 6024^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36352081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20010 + ... + 21750.

It is an arithmetic number, because the mean of its divisors is an integer number (1053039).

Almost surely, 2^36352080 is an apocalyptic number.

36352080 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 36352080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63182340).

36352080 is an abundant number, since it is smaller than the sum of its proper divisors (90012600).

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

36352080 is a wasteful number, since it uses less digits than its factorization.

36352080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 36352080 is about 6029.2686123609. The cubic root of 36352080 is about 331.2656629594.

The spelling of 36352080 in words is "thirty-six million, three hundred fifty-two thousand, eighty".