36705117000 has 128 divisors (see below), whose sum is σ = 115654780800. Its totient is φ = 9691040000.

The previous prime is 36705116939. The next prime is 36705117013. The reversal of 36705117000 is 71150763.

It is a super-2 number, since 2×36705117000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242431 + ... + 363569.

It is an arithmetic number, because the mean of its divisors is an integer number (903552975).

Almost surely, 2^36705117000 is an apocalyptic number.

36705117000 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 36705117000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57827390400).

36705117000 is an abundant number, since it is smaller than the sum of its proper divisors (78949663800).

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

36705117000 is a wasteful number, since it uses less digits than its factorization.

36705117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121264 (or 121250 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

Adding to 36705117000 its reverse (71150763), we get a palindrome (36776267763).

The spelling of 36705117000 in words is "thirty-six billion, seven hundred five million, one hundred seventeen thousand".