36349952000 has 120 divisors (see below), whose sum is σ = 90731823000. Its totient is φ = 14539161600.

The previous prime is 36349951949. The next prime is 36349952021. The reversal of 36349952000 is 25994363.

It can be written as a sum of positive squares in 4 ways, for example, as 7845707776 + 28504244224 = 88576^2 + 168832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2039126 + ... + 2056874.

It is an arithmetic number, because the mean of its divisors is an integer number (756098525).

Almost surely, 2^36349952000 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 36349952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45365911500).

36349952000 is an abundant number, since it is smaller than the sum of its proper divisors (54381871000).

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

36349952000 is an frugal number, since it uses more digits than its factorization.

36349952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17792 (or 17756 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The spelling of 36349952000 in words is "thirty-six billion, three hundred forty-nine million, nine hundred fifty-two thousand".