36002061000 has 192 divisors, whose sum is σ = 126978433920. Its totient is φ = 9183081600.

The previous prime is 36002060881. The next prime is 36002061031. The reversal of 36002061000 is 16020063.

It is a happy number.

36002061000 is a `hidden beast` number, since 3 + 600 + 2 + 0 + 61 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×36002061000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 120039 + ... + 293961.

It is an arithmetic number, because the mean of its divisors is an integer number (661346010).

Almost surely, 2^36002061000 is an apocalyptic number.

36002061000 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 36002061000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63489216960).

36002061000 is an abundant number, since it is smaller than the sum of its proper divisors (90976372920).

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

36002061000 is a wasteful number, since it uses less digits than its factorization.

36002061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173973 (or 173956 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 36002061000 its reverse (16020063), we get a palindrome (36018081063).

The spelling of 36002061000 in words is "thirty-six billion, two million, sixty-one thousand".