385007868 has 144 divisors (see below), whose sum is σ = 1179709440. Its totient is φ = 103420800.

The previous prime is 385007851. The next prime is 385007873. The reversal of 385007868 is 868700583.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914298 + ... + 914718.

Almost surely, 2^385007868 is an apocalyptic number.

385007868 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 385007868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589854720).

385007868 is an abundant number, since it is smaller than the sum of its proper divisors (794701572).

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

385007868 is a wasteful number, since it uses less digits than its factorization.

385007868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 385007868 is about 19621.6173645294. The cubic root of 385007868 is about 727.4835905180.

The spelling of 385007868 in words is "three hundred eighty-five million, seven thousand, eight hundred sixty-eight".