384365538 has 18 divisors (see below), whose sum is σ = 832972257. Its totient is φ = 128094120.

The previous prime is 384365479. The next prime is 384365539. The reversal of 384365538 is 835563483.

384365538 is a `hidden beast` number, since 3 + 84 + 36 + 5 + 538 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 378030249 + 6335289 = 19443^2 + 2517^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13863.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 384365493 and 384365502.

It is not an unprimeable number, because it can be changed into a prime (384365539) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 80868 + ... + 85488.

Almost surely, 2^384365538 is an apocalyptic number.

384365538 is an abundant number, since it is smaller than the sum of its proper divisors (448606719).

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

384365538 is an frugal number, since it uses more digits than its factorization.

384365538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250 (or 4626 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 384365538 is about 19605.2426151782. The cubic root of 384365538 is about 727.0787982352.

Multiplying 384365538 by its product of digits (1036800), we get a square (398510189798400 = 19962720²).

The spelling of 384365538 in words is "three hundred eighty-four million, three hundred sixty-five thousand, five hundred thirty-eight".