385350768 has 120 divisors (see below), whose sum is σ = 1194375936. Its totient is φ = 114998400.

The previous prime is 385350767. The next prime is 385350773. The reversal of 385350768 is 867053583.

385350768 is a `hidden beast` number, since 3 + 85 + 3 + 507 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385350767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104313 + ... + 107943.

Almost surely, 2^385350768 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 385350768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597187968).

385350768 is an abundant number, since it is smaller than the sum of its proper divisors (809025168).

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

385350768 is a wasteful number, since it uses less digits than its factorization.

385350768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 385350768 is about 19630.3532316665. The cubic root of 385350768 is about 727.6994996144.

It can be divided in two parts, 385 and 350768, that added together give a palindrome (351153).

The spelling of 385350768 in words is "three hundred eighty-five million, three hundred fifty thousand, seven hundred sixty-eight".