384200385921 has 63 divisors (see below), whose sum is σ = 633468240433. Its totient is φ = 232737147720.

The previous prime is 384200385893. The next prime is 384200385953. The reversal of 384200385921 is 129583002483.

The square root of 384200385921 is 619839.

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

384200385921 is a `hidden beast` number, since 3 + 8 + 4 + 20 + 0 + 38 + 592 + 1 = 666.

It is not a de Polignac number, because 384200385921 - 2⁵ = 384200385889 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (384200381921) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 184091140 + ... + 184093226.

Almost surely, 2^384200385921 is an apocalyptic number.

384200385921 is the 619839-th square number.

384200385921 is the 309920-th centered octagonal number.

It is an amenable number.

384200385921 is a deficient number, since it is larger than the sum of its proper divisors (249267854512).

384200385921 is an frugal number, since it uses more digits than its factorization.

384200385921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 384200385921 in words is "three hundred eighty-four billion, two hundred million, three hundred eighty-five thousand, nine hundred twenty-one".