380028392447616 has 1920 divisors, whose sum is σ = 1365088122478080. Its totient is φ = 104397167001600.

The previous prime is 380028392447597. The next prime is 380028392447621. The reversal of 380028392447616 is 616744293820083.

380028392447616 is a `hidden beast` number, since 3 + 8 + 0 + 0 + 2 + 8 + 3 + 9 + 2 + 4 + 4 + 7 + 616 = 666.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 154044746415 + ... + 154044748881.

It is an arithmetic number, because the mean of its divisors is an integer number (710983397124).

Almost surely, 2^{380028392447616} is an apocalyptic number.

380028392447616 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 380028392447616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682544061239040).

380028392447616 is an abundant number, since it is smaller than the sum of its proper divisors (985059730030464).

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

380028392447616 is a wasteful number, since it uses less digits than its factorization.

380028392447616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2764 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 380028392447616 in words is "three hundred eighty trillion, twenty-eight billion, three hundred ninety-two million, four hundred forty-seven thousand, six hundred sixteen".