385538872932 has 240 divisors, whose sum is σ = 1076674146240. Its totient is φ = 120448622592.

The previous prime is 385538872907. The next prime is 385538872933. The reversal of 385538872932 is 239278835583.

385538872932 is a `hidden beast` number, since 3 + 8 + 5 + 538 + 8 + 7 + 2 + 93 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 385538872932.

It is not an unprimeable number, because it can be changed into a prime (385538872933) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 145101748 + ... + 145104404.

It is an arithmetic number, because the mean of its divisors is an integer number (4486142276).

Almost surely, 2^385538872932 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 385538872932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538337073120).

385538872932 is an abundant number, since it is smaller than the sum of its proper divisors (691135273308).

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

385538872932 is an equidigital number, since it uses as much as digits as its factorization.

385538872932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2778 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 385538872932 in words is "three hundred eighty-five billion, five hundred thirty-eight million, eight hundred seventy-two thousand, nine hundred thirty-two".