36812365824 has 112 divisors (see below), whose sum is σ = 105712028352. Its totient is φ = 11326783488.

The previous prime is 36812365823. The next prime is 36812365853. The reversal of 36812365824 is 42856321863.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (36812365823) 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, 261877 + ... + 377099.

It is an arithmetic number, because the mean of its divisors is an integer number (943857396).

Almost surely, 2^36812365824 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 36812365824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52856014176).

36812365824 is an abundant number, since it is smaller than the sum of its proper divisors (68899662528).

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

36812365824 is a wasteful number, since it uses less digits than its factorization.

36812365824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115265 (or 115241 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 36812365824 in words is "thirty-six billion, eight hundred twelve million, three hundred sixty-five thousand, eight hundred twenty-four".