387390642912 has 1152 divisors, whose sum is σ = 1472344473600. Its totient is φ = 95835156480.

The previous prime is 387390642911. The next prime is 387390642931. The reversal of 387390642912 is 219246093783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387390642911) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1472968093 + ... + 1472968355.

It is an arithmetic number, because the mean of its divisors is an integer number (1278076800).

Almost surely, 2^387390642912 is an apocalyptic number.

387390642912 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 387390642912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736172236800).

387390642912 is an abundant number, since it is smaller than the sum of its proper divisors (1084953830688).

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

387390642912 is a wasteful number, since it uses less digits than its factorization.

387390642912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 387390642912 in words is "three hundred eighty-seven billion, three hundred ninety million, six hundred forty-two thousand, nine hundred twelve".