385000387200 has 2880 divisors, whose sum is σ = 1814819022720. Its totient is φ = 79360819200.

The previous prime is 385000387171. The next prime is 385000387223. The reversal of 385000387200 is 2783000583.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 8191497577 + ... + 8191497623.

It is an arithmetic number, because the mean of its divisors is an integer number (630145494).

Almost surely, 2^385000387200 is an apocalyptic number.

385000387200 is a gapful number since it is divisible by the number (30) 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 385000387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907409511360).

385000387200 is an abundant number, since it is smaller than the sum of its proper divisors (1429818635520).

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

385000387200 is a wasteful number, since it uses less digits than its factorization.

385000387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 385000387200 its reverse (2783000583), we get a palindrome (387783387783).

The spelling of 385000387200 in words is "three hundred eighty-five billion, three hundred eighty-seven thousand, two hundred".