380266316928 has 320 divisors, whose sum is σ = 1156988448000. Its totient is φ = 123944048640.

The previous prime is 380266316891. The next prime is 380266316929. The reversal of 380266316928 is 829613662083.

380266316928 is a `hidden beast` number, since 380 + 26 + 63 + 169 + 28 = 666.

It is a super-2 number, since 2×380266316928² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (380266316929) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 113206513 + ... + 113209871.

It is an arithmetic number, because the mean of its divisors is an integer number (3615588900).

Almost surely, 2^380266316928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380266316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578494224000).

380266316928 is an abundant number, since it is smaller than the sum of its proper divisors (776722131072).

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

380266316928 is a wasteful number, since it uses less digits than its factorization.

380266316928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3625 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 380266316928 in words is "three hundred eighty billion, two hundred sixty-six million, three hundred sixteen thousand, nine hundred twenty-eight".