38300350044816 has 480 divisors, whose sum is σ = 112455430963200. Its totient is φ = 12154996546560.

The previous prime is 38300350044787. The next prime is 38300350044821. The reversal of 38300350044816 is 61844005300383.

38300350044816 is a `hidden beast` number, since 38 + 30 + 0 + 3 + 500 + 4 + 4 + 81 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46200663090 + ... + 46200663918.

It is an arithmetic number, because the mean of its divisors is an integer number (234282147840).

Almost surely, 2^{38300350044816} is an apocalyptic number.

38300350044816 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 38300350044816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56227715481600).

38300350044816 is an abundant number, since it is smaller than the sum of its proper divisors (74155080918384).

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

38300350044816 is a wasteful number, since it uses less digits than its factorization.

38300350044816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 38300350044816 in words is "thirty-eight trillion, three hundred billion, three hundred fifty million, forty-four thousand, eight hundred sixteen".