36006282000 has 960 divisors, whose sum is σ = 144908225280. Its totient is φ = 8584704000.

The previous prime is 36006281981. The next prime is 36006282001. The reversal of 36006282000 is 28260063.

36006282000 is a `hidden beast` number, since 36 + 0 + 0 + 628 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36006282001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259037931 + ... + 259038069.

It is an arithmetic number, because the mean of its divisors is an integer number (150946068).

Almost surely, 2^36006282000 is an apocalyptic number.

36006282000 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 36006282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72454112640).

36006282000 is an abundant number, since it is smaller than the sum of its proper divisors (108901943280).

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

36006282000 is a wasteful number, since it uses less digits than its factorization.

36006282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 36006282000 in words is "thirty-six billion, six million, two hundred eighty-two thousand".