32436010000 has 75 divisors (see below), whose sum is σ = 78574452033. Its totient is φ = 12967200000.

The previous prime is 32436009971. The next prime is 32436010021. The reversal of 32436010000 is 1063423.

The square root of 32436010000 is 180100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 32203020304 + 232989696 = 179452^2 + 15264^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32436010000.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18009100 + ... + 18010900.

Almost surely, 2^32436010000 is an apocalyptic number.

32436010000 is the 180100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32436010000

32436010000 is an abundant number, since it is smaller than the sum of its proper divisors (46138442033).

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

32436010000 is an frugal number, since it uses more digits than its factorization.

32436010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 32436010000 its reverse (1063423), we get a palindrome (32437073423).

The spelling of 32436010000 in words is "thirty-two billion, four hundred thirty-six million, ten thousand".