36800004000 has 192 divisors, whose sum is σ = 121002964992. Its totient is φ = 9777024000.

The previous prime is 36800003983. The next prime is 36800004001. The reversal of 36800004000 is 40000863.

36800004000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (36800004001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3318465 + ... + 3329535.

It is an arithmetic number, because the mean of its divisors is an integer number (630223776).

Almost surely, 2^36800004000 is an apocalyptic number.

36800004000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36800004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60501482496).

36800004000 is an abundant number, since it is smaller than the sum of its proper divisors (84202960992).

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

36800004000 is a wasteful number, since it uses less digits than its factorization.

36800004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11376 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 36800004000 its reverse (40000863), we get a palindrome (36840004863).

The spelling of 36800004000 in words is "thirty-six billion, eight hundred million, four thousand".