36023028800 has 168 divisors, whose sum is σ = 97264435392. Its totient is φ = 13022464000.

The previous prime is 36023028799. The next prime is 36023028841. The reversal of 36023028800 is 882032063.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3038885 + ... + 3050715.

Almost surely, 2^36023028800 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 36023028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48632217696).

36023028800 is an abundant number, since it is smaller than the sum of its proper divisors (61241406592).

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

36023028800 is a wasteful number, since it uses less digits than its factorization.

36023028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12037 (or 12022 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 36023028800 in words is "thirty-six billion, twenty-three million, twenty-eight thousand, eight hundred".