385045668 has 144 divisors (see below), whose sum is σ = 1198718976. Its totient is φ = 101787840.

The previous prime is 385045663. The next prime is 385045681. The reversal of 385045668 is 866540583.

385045668 is a `hidden beast` number, since 3 + 85 + 0 + 4 + 566 + 8 = 666.

385045668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (385045663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178605 + ... + 180747.

Almost surely, 2^385045668 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 385045668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599359488).

385045668 is an abundant number, since it is smaller than the sum of its proper divisors (813673308).

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

385045668 is a wasteful number, since it uses less digits than its factorization.

385045668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 385045668 is about 19622.5805642377. The cubic root of 385045668 is about 727.5073978062.

The spelling of 385045668 in words is "three hundred eighty-five million, forty-five thousand, six hundred sixty-eight".