380764317024 has 1152 divisors, whose sum is σ = 1449267240960. Its totient is φ = 95103590400.

The previous prime is 380764317023. The next prime is 380764317067. The reversal of 380764317024 is 420713467083.

380764317024 is a `hidden beast` number, since 3 + 80 + 76 + 431 + 70 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380764317023) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1932813694 + ... + 1932813890.

It is an arithmetic number, because the mean of its divisors is an integer number (1258044480).

Almost surely, 2^380764317024 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 380764317024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724633620480).

380764317024 is an abundant number, since it is smaller than the sum of its proper divisors (1068502923936).

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

380764317024 is a wasteful number, since it uses less digits than its factorization.

380764317024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 380764317024 in words is "three hundred eighty billion, seven hundred sixty-four million, three hundred seventeen thousand, twenty-four".