36438400000 has 264 divisors, whose sum is σ = 93068574480. Its totient is φ = 14254080000.

The previous prime is 36438399997. The next prime is 36438400043. The reversal of 36438400000 is 483463.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188799904 + ... + 188800096.

Almost surely, 2^36438400000 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 36438400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46534287240).

36438400000 is an abundant number, since it is smaller than the sum of its proper divisors (56630174480).

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

36438400000 is an frugal number, since it uses more digits than its factorization.

36438400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 36438400000 its reverse (483463), we get a palindrome (36438883463).

The spelling of 36438400000 in words is "thirty-six billion, four hundred thirty-eight million, four hundred thousand".