380760575364 has 243 divisors, whose sum is σ = 1085946309903. Its totient is φ = 116757246528.

The previous prime is 380760575311. The next prime is 380760575381. The reversal of 380760575364 is 463575067083.

The square root of 380760575364 is 617058.

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

380760575364 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 6 + 0 + 575 + 3 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9733400964 + 371027174400 = 98658^2 + 609120^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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

It is a self number, because there is not a number n which added to its sum of digits gives 380760575364.

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 80 ways as a sum of consecutive naturals, for example, 1299524002 + ... + 1299524294.

Almost surely, 2^380760575364 is an apocalyptic number.

380760575364 is the 617058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380760575364

380760575364 is an abundant number, since it is smaller than the sum of its proper divisors (705185734539).

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

380760575364 is an frugal number, since it uses more digits than its factorization.

380760575364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 380760575364 in words is "three hundred eighty billion, seven hundred sixty million, five hundred seventy-five thousand, three hundred sixty-four".