36856320 has 80 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 9826304.

The previous prime is 36856307. The next prime is 36856321. The reversal of 36856320 is 2365863.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36856321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5281 + ... + 10079.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^36856320 is an apocalyptic number.

36856320 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 36856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

36856320 is an abundant number, since it is smaller than the sum of its proper divisors (80993280).

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

36856320 is an equidigital number, since it uses as much as digits as its factorization.

36856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 36856320 is about 6070.9406190474. The cubic root of 36856320 is about 332.7902980406.

The spelling of 36856320 in words is "thirty-six million, eight hundred fifty-six thousand, three hundred twenty".