384847770321 has 135 divisors (see below), whose sum is σ = 687673682091. Its totient is φ = 213860769696.

The previous prime is 384847770311. The next prime is 384847770331. The reversal of 384847770321 is 123077748483.

The square root of 384847770321 is 620361.

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

384847770321 is a `hidden beast` number, since 3 + 8 + 484 + 77 + 70 + 3 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (384847770311) and next prime (384847770331).

It can be written as a sum of positive squares in only one way, i.e., 358428518721 + 26419251600 = 598689^2 + 162540^2 .

It is not a de Polignac number, because 384847770321 - 2¹³ = 384847762129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (384847770311) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1680557835 + ... + 1680558063.

Almost surely, 2^384847770321 is an apocalyptic number.

384847770321 is the 620361-st square number.

384847770321 is the 310181-st centered octagonal number.

It is an amenable number.

384847770321 is a deficient number, since it is larger than the sum of its proper divisors (302825911770).

384847770321 is an frugal number, since it uses more digits than its factorization.

384847770321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 384847770321 in words is "three hundred eighty-four billion, eight hundred forty-seven million, seven hundred seventy thousand, three hundred twenty-one".