384657693 has 32 divisors (see below), whose sum is σ = 602169600. Its totient is φ = 218312640.

The previous prime is 384657673. The next prime is 384657697. The reversal of 384657693 is 396756483.

It is not a de Polignac number, because 384657693 - 2¹³ = 384649501 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384657697) 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 31 ways as a sum of consecutive naturals, for example, 160363 + ... + 162743.

It is an arithmetic number, because the mean of its divisors is an integer number (18817800).

Almost surely, 2^384657693 is an apocalyptic number.

It is an amenable number.

384657693 is a deficient number, since it is larger than the sum of its proper divisors (217511907).

384657693 is a wasteful number, since it uses less digits than its factorization.

384657693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2548 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The square root of 384657693 is about 19612.6921405502. The cubic root of 384657693 is about 727.2629683269.

The spelling of 384657693 in words is "three hundred eighty-four million, six hundred fifty-seven thousand, six hundred ninety-three".