385368192 has 320 divisors, whose sum is σ = 1303315200. Its totient is φ = 111974400.

The previous prime is 385368173. The next prime is 385368239. The reversal of 385368192 is 291863583.

It is a happy number.

385368192 is a `hidden beast` number, since 38 + 536 + 81 + 9 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3535434 + ... + 3535542.

It is an arithmetic number, because the mean of its divisors is an integer number (4072860).

Almost surely, 2^385368192 is an apocalyptic number.

385368192 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 385368192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651657600).

385368192 is an abundant number, since it is smaller than the sum of its proper divisors (917947008).

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

385368192 is a wasteful number, since it uses less digits than its factorization.

385368192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 385368192 is about 19630.7970291580. The cubic root of 385368192 is about 727.7104673231.

The spelling of 385368192 in words is "three hundred eighty-five million, three hundred sixty-eight thousand, one hundred ninety-two".