385082736000 has 512 divisors, whose sum is σ = 1308291004800. Its totient is φ = 100159488000.

The previous prime is 385082735993. The next prime is 385082736001. The reversal of 385082736000 is 637280583.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385082736001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582575670 + ... + 582576330.

Almost surely, 2^385082736000 is an apocalyptic number.

385082736000 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 385082736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654145502400).

385082736000 is an abundant number, since it is smaller than the sum of its proper divisors (923208268800).

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

385082736000 is a wasteful number, since it uses less digits than its factorization.

385082736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 385082736000 in words is "three hundred eighty-five billion, eighty-two million, seven hundred thirty-six thousand".