387391128768 has 336 divisors, whose sum is σ = 1330833853440. Its totient is φ = 109436811264.

The previous prime is 387391128703. The next prime is 387391128781. The reversal of 387391128768 is 867821193783.

387391128768 is a `hidden beast` number, since 387 + 3 + 9 + 112 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9668905 + ... + 9708887.

It is an arithmetic number, because the mean of its divisors is an integer number (3960815040).

Almost surely, 2^387391128768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387391128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665416926720).

387391128768 is an abundant number, since it is smaller than the sum of its proper divisors (943442724672).

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

387391128768 is an equidigital number, since it uses as much as digits as its factorization.

387391128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40106 (or 40084 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 387391128768 in words is "three hundred eighty-seven billion, three hundred ninety-one million, one hundred twenty-eight thousand, seven hundred sixty-eight".