385675584 has 112 divisors (see below), whose sum is σ = 1183891968. Its totient is φ = 108523008.

The previous prime is 385675483. The next prime is 385675637. The reversal of 385675584 is 485576583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87907 + ... + 92189.

It is an arithmetic number, because the mean of its divisors is an integer number (10570464).

Almost surely, 2^385675584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385675584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591945984).

385675584 is an abundant number, since it is smaller than the sum of its proper divisors (798216384).

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

385675584 is a wasteful number, since it uses less digits than its factorization.

385675584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4372 (or 4362 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 51.

The square root of 385675584 is about 19638.6247991044. The cubic root of 385675584 is about 727.9039039121.

Subtracting 385675584 from its reverse (485576583), we obtain a palindrome (99900999).

The spelling of 385675584 in words is "three hundred eighty-five million, six hundred seventy-five thousand, five hundred eighty-four".