3800318564736 has 192 divisors, whose sum is σ = 11119085855280. Its totient is φ = 1245611372544.

The previous prime is 3800318564699. The next prime is 3800318564737. The reversal of 3800318564736 is 6374658130083.

3800318564736 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 3 + 1 + 8 + 564 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3800318564737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42947290 + ... + 43035686.

Almost surely, 2^{3800318564736} is an apocalyptic number.

3800318564736 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 3800318564736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559542927640).

3800318564736 is an abundant number, since it is smaller than the sum of its proper divisors (7318767290544).

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

3800318564736 is a wasteful number, since it uses less digits than its factorization.

3800318564736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89041 (or 89026 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3800318564736 in words is "three trillion, eight hundred billion, three hundred eighteen million, five hundred sixty-four thousand, seven hundred thirty-six".