385195968 has 168 divisors, whose sum is σ = 1183304720. Its totient is φ = 119439360.

The previous prime is 385195963. The next prime is 385196027. The reversal of 385195968 is 869591583.

It is a happy number.

385195968 is a `hidden beast` number, since 38 + 5 + 19 + 596 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (2332800) is a multiple of the sum of its prime factors (675).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385195963) 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 23 ways as a sum of consecutive naturals, for example, 667296 + ... + 667872.

Almost surely, 2^385195968 is an apocalyptic number.

385195968 is a gapful number since it is divisible by the number (38) 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 385195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591652360).

385195968 is an abundant number, since it is smaller than the sum of its proper divisors (798108752).

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

385195968 is a wasteful number, since it uses less digits than its factorization.

385195968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 662 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 385195968 is about 19626.4099620893. The cubic root of 385195968 is about 727.6020447073.

The spelling of 385195968 in words is "three hundred eighty-five million, one hundred ninety-five thousand, nine hundred sixty-eight".