385271712 has 216 divisors, whose sum is σ = 1331025696. Its totient is φ = 105202944.

The previous prime is 385271659. The next prime is 385271717. The reversal of 385271712 is 217172583.

385271712 is a `hidden beast` number, since 385 + 271 + 7 + 1 + 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 (385271717) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 323983 + ... + 325169.

It is an arithmetic number, because the mean of its divisors is an integer number (6162156).

Almost surely, 2^385271712 is an apocalyptic number.

385271712 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 385271712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665512848).

385271712 is an abundant number, since it is smaller than the sum of its proper divisors (945753984).

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

385271712 is a wasteful number, since it uses less digits than its factorization.

385271712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1222 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 385271712 is about 19628.3395120423. The cubic root of 385271712 is about 727.6497328815.

The spelling of 385271712 in words is "three hundred eighty-five million, two hundred seventy-one thousand, seven hundred twelve".