385712500320 has 1344 divisors, whose sum is σ = 1649971814400. Its totient is φ = 85044556800.

The previous prime is 385712500301. The next prime is 385712500417. The reversal of 385712500320 is 23005217583.

It is a happy number.

385712500320 is a `hidden beast` number, since 3 + 8 + 571 + 2 + 50 + 0 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1240232965 + ... + 1240233275.

It is an arithmetic number, because the mean of its divisors is an integer number (1227657600).

Almost surely, 2^385712500320 is an apocalyptic number.

385712500320 is a gapful number since it is divisible by the number (30) 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 385712500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824985907200).

385712500320 is an abundant number, since it is smaller than the sum of its proper divisors (1264259314080).

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

385712500320 is an equidigital number, since it uses as much as digits as its factorization.

385712500320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 359 counting only the distinct ones).

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

The spelling of 385712500320 in words is "three hundred eighty-five billion, seven hundred twelve million, five hundred thousand, three hundred twenty".