36437821000 has 192 divisors, whose sum is σ = 99725024880. Its totient is φ = 12425011200.

The previous prime is 36437820977. The next prime is 36437821003. The reversal of 36437821000 is 12873463.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5236837956 + 31200983044 = 72366^2 + 176638^2 .

It is not an unprimeable number, because it can be changed into a prime (36437821003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9455074 + ... + 9458926.

Almost surely, 2^36437821000 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 36437821000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49862512440).

36437821000 is an abundant number, since it is smaller than the sum of its proper divisors (63287203880).

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

36437821000 is a wasteful number, since it uses less digits than its factorization.

36437821000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 36437821000 in words is "thirty-six billion, four hundred thirty-seven million, eight hundred twenty-one thousand".