385523712 has 280 divisors, whose sum is σ = 1332134496. Its totient is φ = 108822528.

The previous prime is 385523711. The next prime is 385523717. The reversal of 385523712 is 217325583.

It is a happy number.

385523712 is a `hidden beast` number, since 38 + 552 + 3 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (385523711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4644823 + ... + 4644905.

Almost surely, 2^385523712 is an apocalyptic number.

385523712 is a gapful number since it is divisible by the number (32) 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 385523712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666067248).

385523712 is an abundant number, since it is smaller than the sum of its proper divisors (946610784).

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

385523712 is an frugal number, since it uses more digits than its factorization.

385523712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 385523712 is about 19634.7577525163. The cubic root of 385523712 is about 727.8083462810.

The spelling of 385523712 in words is "three hundred eighty-five million, five hundred twenty-three thousand, seven hundred twelve".