387545347488 has 384 divisors, whose sum is σ = 1199090995200. Its totient is φ = 108515635200.

The previous prime is 387545347481. The next prime is 387545347493. The reversal of 387545347488 is 884743545783.

It is not an unprimeable number, because it can be changed into a prime (387545347481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145092393 + ... + 145095063.

It is an arithmetic number, because the mean of its divisors is an integer number (3122632800).

Almost surely, 2^387545347488 is an apocalyptic number.

387545347488 is a gapful number since it is divisible by the number (38) 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 387545347488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599545497600).

387545347488 is an abundant number, since it is smaller than the sum of its proper divisors (811545647712).

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

387545347488 is a wasteful number, since it uses less digits than its factorization.

387545347488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2948 counting only the distinct ones).

The product of its digits is 361267200, while the sum is 66.

The spelling of 387545347488 in words is "three hundred eighty-seven billion, five hundred forty-five million, three hundred forty-seven thousand, four hundred eighty-eight".