3036011636736 has 576 divisors, whose sum is σ = 10525045003200. Its totient is φ = 832911704064.

The previous prime is 3036011636729. The next prime is 3036011636741. The reversal of 3036011636736 is 6376361106303.

3036011636736 is a `hidden beast` number, since 3 + 0 + 3 + 6 + 0 + 1 + 1 + 636 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 3036011636691 and 3036011636700.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 77376355 + ... + 77415581.

It is an arithmetic number, because the mean of its divisors is an integer number (18272647575).

Almost surely, 2^{3036011636736} is an apocalyptic number.

3036011636736 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 3036011636736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262522501600).

3036011636736 is an abundant number, since it is smaller than the sum of its proper divisors (7489033366464).

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

3036011636736 is a wasteful number, since it uses less digits than its factorization.

3036011636736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39304 (or 39281 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 3036011636736 in words is "three trillion, thirty-six billion, eleven million, six hundred thirty-six thousand, seven hundred thirty-six".