387571968000 has 864 divisors, whose sum is σ = 1625537539080. Its totient is φ = 88562073600.

The previous prime is 387571967947. The next prime is 387571968001. The reversal of 387571968000 is 869175783.

387571968000 is a `hidden beast` number, since 3 + 8 + 7 + 571 + 9 + 68 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84667032576 + 302904935424 = 290976^2 + 550368^2 .

It is not an unprimeable number, because it can be changed into a prime (387571968001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 112894284 + ... + 112897716.

Almost surely, 2^387571968000 is an apocalyptic number.

387571968000 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 387571968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812768769540).

387571968000 is an abundant number, since it is smaller than the sum of its proper divisors (1237965571080).

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

387571968000 is a wasteful number, since it uses less digits than its factorization.

387571968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 387571968000 in words is "three hundred eighty-seven billion, five hundred seventy-one million, nine hundred sixty-eight thousand".