387882453504 has 640 divisors, whose sum is σ = 1354233323520. Its totient is φ = 95737872384.

The previous prime is 387882453503. The next prime is 387882453509. The reversal of 387882453504 is 405354288783.

It is not an unprimeable number, because it can be changed into a prime (387882453503) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 567909547 + ... + 567910229.

It is an arithmetic number, because the mean of its divisors is an integer number (2115989568).

Almost surely, 2^387882453504 is an apocalyptic number.

387882453504 is a gapful number since it is divisible by the number (34) 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 387882453504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677116661760).

387882453504 is an abundant number, since it is smaller than the sum of its proper divisors (966350870016).

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

387882453504 is a wasteful number, since it uses less digits than its factorization.

387882453504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 387882453504 in words is "three hundred eighty-seven billion, eight hundred eighty-two million, four hundred fifty-three thousand, five hundred four".