385075686912 has 480 divisors, whose sum is σ = 1241141704704. Its totient is φ = 105670656000.

The previous prime is 385075686911. The next prime is 385075686913. The reversal of 385075686912 is 219686570583.

It is an interprime number because it is at equal distance from previous prime (385075686911) and next prime (385075686913).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385075686911) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352310238 + ... + 352311330.

Almost surely, 2^385075686912 is an apocalyptic number.

385075686912 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 385075686912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620570852352).

385075686912 is an abundant number, since it is smaller than the sum of its proper divisors (856066017792).

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

385075686912 is a wasteful number, since it uses less digits than its factorization.

385075686912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 385075686912 in words is "three hundred eighty-five billion, seventy-five million, six hundred eighty-six thousand, nine hundred twelve".