385437575952 has 1440 divisors, whose sum is σ = 1452267048960. Its totient is φ = 97921612800.

The previous prime is 385437575909. The next prime is 385437575953. The reversal of 385437575952 is 259575734583.

385437575952 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 3 + 7 + 575 + 9 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 385437575952.

It is not an unprimeable number, because it can be changed into a prime (385437575953) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3602220283 + ... + 3602220389.

It is an arithmetic number, because the mean of its divisors is an integer number (1008518784).

Almost surely, 2^385437575952 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 385437575952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726133524480).

385437575952 is an abundant number, since it is smaller than the sum of its proper divisors (1066829473008).

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

385437575952 is a wasteful number, since it uses less digits than its factorization.

385437575952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its digits is 158760000, while the sum is 63.

The spelling of 385437575952 in words is "three hundred eighty-five billion, four hundred thirty-seven million, five hundred seventy-five thousand, nine hundred fifty-two".