385811712 has 216 divisors, whose sum is σ = 1307980128. Its totient is φ = 107827200.

The previous prime is 385811711. The next prime is 385811717. The reversal of 385811712 is 217118583.

385811712 is a `hidden beast` number, since 3 + 8 + 581 + 1 + 71 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385811711) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 328887 + ... + 330057.

Almost surely, 2^385811712 is an apocalyptic number.

385811712 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 385811712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653990064).

385811712 is an abundant number, since it is smaller than the sum of its proper divisors (922168416).

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

385811712 is a wasteful number, since it uses less digits than its factorization.

385811712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1200 counting only the distinct ones).

The product of its digits is 13440, while the sum is 36.

The square root of 385811712 is about 19642.0903164607. The cubic root of 385811712 is about 727.9895341248.

The spelling of 385811712 in words is "three hundred eighty-five million, eight hundred eleven thousand, seven hundred twelve".