385339132800 has 576 divisors, whose sum is σ = 1397735539200. Its totient is φ = 101072240640.

The previous prime is 385339132781. The next prime is 385339132811. The reversal of 385339132800 is 8231933583.

385339132800 is a `hidden beast` number, since 3 + 8 + 533 + 9 + 1 + 32 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 501090816 + ... + 501091584.

It is an arithmetic number, because the mean of its divisors is an integer number (2426624200).

Almost surely, 2^385339132800 is an apocalyptic number.

385339132800 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 385339132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698867769600).

385339132800 is an abundant number, since it is smaller than the sum of its proper divisors (1012396406400).

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

385339132800 is a wasteful number, since it uses less digits than its factorization.

385339132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 385339132800 in words is "three hundred eighty-five billion, three hundred thirty-nine million, one hundred thirty-two thousand, eight hundred".