380305715328 has 384 divisors, whose sum is σ = 1414951050240. Its totient is φ = 98780083200.

The previous prime is 380305715243. The next prime is 380305715341. The reversal of 380305715328 is 823517503083.

380305715328 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 0 + 571 + 53 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×380305715328² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2315613 + ... + 2474403.

It is an arithmetic number, because the mean of its divisors is an integer number (3684768360).

Almost surely, 2^380305715328 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 380305715328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707475525120).

380305715328 is an abundant number, since it is smaller than the sum of its proper divisors (1034645334912).

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

380305715328 is a wasteful number, since it uses less digits than its factorization.

380305715328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158838 (or 158814 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 380305715328 in words is "three hundred eighty billion, three hundred five million, seven hundred fifteen thousand, three hundred twenty-eight".