36649828352 has 96 divisors (see below), whose sum is σ = 77913386460. Its totient is φ = 17179869184.

The previous prime is 36649828297. The next prime is 36649828357. The reversal of 36649828352 is 25382894663.

It can be written as a sum of positive squares in 2 ways, for example, as 28894560256 + 7755268096 = 169984^2 + 88064^2 .

Its product of digits (14929920) is a multiple of the sum of its prime factors (320).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (36649828357) by changing a digit.

In principle, a polygon with 36649828352 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 142606208 + ... + 142606464.

Almost surely, 2^36649828352 is an apocalyptic number.

36649828352 is a gapful number since it is divisible by the number (32) 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 36649828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38956693230).

36649828352 is an abundant number, since it is smaller than the sum of its proper divisors (41263558108).

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

36649828352 is an frugal number, since it uses more digits than its factorization.

36649828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 276 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 56.

The spelling of 36649828352 in words is "thirty-six billion, six hundred forty-nine million, eight hundred twenty-eight thousand, three hundred fifty-two".