36796000 has 48 divisors (see below), whose sum is σ = 90417600. Its totient is φ = 14716800.

The previous prime is 36795961. The next prime is 36796009. The reversal of 36796000 is 69763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36796009) 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 7 ways as a sum of consecutive naturals, for example, 600 + ... + 8599.

It is an arithmetic number, because the mean of its divisors is an integer number (1883700).

Almost surely, 2^36796000 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 36796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45208800).

36796000 is an abundant number, since it is smaller than the sum of its proper divisors (53621600).

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

36796000 is an equidigital number, since it uses as much as digits as its factorization.

36796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9224 (or 9206 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 31.

The square root of 36796000 is about 6065.9706560451. The cubic root of 36796000 is about 332.6086478568.

The spelling of 36796000 in words is "thirty-six million, seven hundred ninety-six thousand".