36001631600 has 120 divisors (see below), whose sum is σ = 94438776960. Its totient is φ = 13080160000.

The previous prime is 36001631599. The next prime is 36001631609. The reversal of 36001631600 is 613610063.

It is a super-2 number, since 2×36001631600² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36001631600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36001631609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6381581 + ... + 6387219.

It is an arithmetic number, because the mean of its divisors is an integer number (786989808).

Almost surely, 2^36001631600 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 36001631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47219388480).

36001631600 is an abundant number, since it is smaller than the sum of its proper divisors (58437145360).

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

36001631600 is a wasteful number, since it uses less digits than its factorization.

36001631600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119 (or 7108 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 36001631600 in words is "thirty-six billion, one million, six hundred thirty-one thousand, six hundred".