385360668 has 288 divisors, whose sum is σ = 1286917632. Its totient is φ = 94348800.

The previous prime is 385360667. The next prime is 385360669. The reversal of 385360668 is 866063583.

385360668 is a `hidden beast` number, since 38 + 5 + 3 + 606 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (385360667) and next prime (385360669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385360667) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6317358 + ... + 6317418.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2^385360668 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 385360668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643458816).

385360668 is an abundant number, since it is smaller than the sum of its proper divisors (901556964).

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

385360668 is a wasteful number, since it uses less digits than its factorization.

385360668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 385360668 is about 19630.6053905630. The cubic root of 385360668 is about 727.7057313076.

The spelling of 385360668 in words is "three hundred eighty-five million, three hundred sixty thousand, six hundred sixty-eight".