36353680 has 80 divisors (see below), whose sum is σ = 93297600. Its totient is φ = 13063680.

The previous prime is 36353663. The next prime is 36353689. The reversal of 36353680 is 8635363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (36353689) 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 15 ways as a sum of consecutive naturals, for example, 95731 + ... + 96109.

It is an arithmetic number, because the mean of its divisors is an integer number (1166220).

Almost surely, 2^36353680 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 36353680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46648800).

36353680 is an abundant number, since it is smaller than the sum of its proper divisors (56943920).

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

36353680 is a wasteful number, since it uses less digits than its factorization.

36353680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 36353680 is about 6029.4012969780. The cubic root of 36353680 is about 331.2705229957.

The spelling of 36353680 in words is "thirty-six million, three hundred fifty-three thousand, six hundred eighty".