380760831360 has 1536 divisors, whose sum is σ = 1721818425600. Its totient is φ = 75358273536.

The previous prime is 380760831343. The next prime is 380760831379. The reversal of 380760831360 is 63138067083.

380760831360 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 608 + 3 + 1 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 562423342 + ... + 562424018.

Almost surely, 2^380760831360 is an apocalyptic number.

380760831360 is a gapful number since it is divisible by the number (30) 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 380760831360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860909212800).

380760831360 is an abundant number, since it is smaller than the sum of its proper divisors (1341057594240).

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

380760831360 is a wasteful number, since it uses less digits than its factorization.

380760831360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 380760831360 in words is "three hundred eighty billion, seven hundred sixty million, eight hundred thirty-one thousand, three hundred sixty".