36038133672 has 128 divisors (see below), whose sum is σ = 97006896000. Its totient is φ = 11116044288.

The previous prime is 36038133661. The next prime is 36038133673. The reversal of 36038133672 is 27633183063.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (36038133673) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10392883 + ... + 10396349.

It is an arithmetic number, because the mean of its divisors is an integer number (757866375).

Almost surely, 2^36038133672 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 36038133672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48503448000).

36038133672 is an abundant number, since it is smaller than the sum of its proper divisors (60968762328).

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

36038133672 is a wasteful number, since it uses less digits than its factorization.

36038133672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 36038133672 in words is "thirty-six billion, thirty-eight million, one hundred thirty-three thousand, six hundred seventy-two".