380931713270784 has 825 divisors, whose sum is σ = 1235408765930801. Its totient is φ = 116917464268800.

The previous prime is 380931713270761. The next prime is 380931713270827. The reversal of 380931713270784 is 487072317139083.

The square root of 380931713270784 is 19517472.

It is a perfect power (a square), and thus also a powerful number.

380931713270784 is a `hidden beast` number, since 3 + 80 + 93 + 1 + 71 + 327 + 0 + 7 + 84 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 226711080797184 + 154220632473600 = 15056928^2 + 12418560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 949954396984 + ... + 949954397384.

Almost surely, 2^{380931713270784} is an apocalyptic number.

380931713270784 is the 19517472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380931713270784

380931713270784 is an abundant number, since it is smaller than the sum of its proper divisors (854477052660017).

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

380931713270784 is an frugal number, since it uses more digits than its factorization.

380931713270784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 380931713270784 in words is "three hundred eighty trillion, nine hundred thirty-one billion, seven hundred thirteen million, two hundred seventy thousand, seven hundred eighty-four".