385164328000 has 112 divisors (see below), whose sum is σ = 954542160000. Its totient is φ = 153955468800.

The previous prime is 385164327997. The next prime is 385164328001. The reversal of 385164328000 is 823461583.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (385164328001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11655501 + ... + 11688499.

Almost surely, 2^385164328000 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 385164328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477271080000).

385164328000 is an abundant number, since it is smaller than the sum of its proper divisors (569377832000).

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

385164328000 is a wasteful number, since it uses less digits than its factorization.

385164328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34485 (or 34465 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

Adding to 385164328000 its reverse (823461583), we get a palindrome (385987789583).

The spelling of 385164328000 in words is "three hundred eighty-five billion, one hundred sixty-four million, three hundred twenty-eight thousand".