36092742336 has 336 divisors, whose sum is σ = 121354681344. Its totient is φ = 10042195968.

The previous prime is 36092742331. The next prime is 36092742377. The reversal of 36092742336 is 63324729063.

36092742336 is a `hidden beast` number, since 3 + 609 + 2 + 7 + 4 + 2 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 36092742291 and 36092742300.

It is not an unprimeable number, because it can be changed into a prime (36092742331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53629296 + ... + 53629968.

Almost surely, 2^36092742336 is an apocalyptic number.

36092742336 is a gapful number since it is divisible by the number (36) 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 36092742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60677340672).

36092742336 is an abundant number, since it is smaller than the sum of its proper divisors (85261939008).

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

36092742336 is a wasteful number, since it uses less digits than its factorization.

36092742336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 36092742336 in words is "thirty-six billion, ninety-two million, seven hundred forty-two thousand, three hundred thirty-six".