36106304000 has 160 divisors (see below), whose sum is σ = 96961200336. Its totient is φ = 13331251200.

The previous prime is 36106303999. The next prime is 36106304009. The reversal of 36106304000 is 40360163.

It can be written as a sum of positive squares in 8 ways, for example, as 1842813184 + 34263490816 = 42928^2 + 185104^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (36106304009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810302 + ... + 853698.

Almost surely, 2^36106304000 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 36106304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48480600168).

36106304000 is an abundant number, since it is smaller than the sum of its proper divisors (60854896336).

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

36106304000 is an equidigital number, since it uses as much as digits as its factorization.

36106304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43443 (or 43417 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 36106304000 its reverse (40360163), we get a palindrome (36146664163).

The spelling of 36106304000 in words is "thirty-six billion, one hundred six million, three hundred four thousand".