385131392 has 64 divisors (see below), whose sum is σ = 791683200. Its totient is φ = 186514944.

The previous prime is 385131377. The next prime is 385131401. The reversal of 385131392 is 293131583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 918959 + ... + 919377.

It is an arithmetic number, because the mean of its divisors is an integer number (12370050).

Almost surely, 2^385131392 is an apocalyptic number.

385131392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395841600).

385131392 is an abundant number, since it is smaller than the sum of its proper divisors (406551808).

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

385131392 is a wasteful number, since it uses less digits than its factorization.

385131392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its digits is 19440, while the sum is 35.

The square root of 385131392 is about 19624.7647629214. The cubic root of 385131392 is about 727.5613829321.

The spelling of 385131392 in words is "three hundred eighty-five million, one hundred thirty-one thousand, three hundred ninety-two".