384115603680 has 192 divisors, whose sum is σ = 1415163052800. Its totient is φ = 97039710720.

The previous prime is 384115603561. The next prime is 384115603723. The reversal of 384115603680 is 86306511483.

384115603680 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 1 + 560 + 3 + 6 + 80 = 666.

384115603680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2257806 + ... + 2421965.

It is an arithmetic number, because the mean of its divisors is an integer number (7370640900).

Almost surely, 2^384115603680 is an apocalyptic number.

384115603680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384115603680 is an abundant number, since it is smaller than the sum of its proper divisors (1031047449120).

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

384115603680 is a wasteful number, since it uses less digits than its factorization.

384115603680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679814 (or 4679800 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 384115603680 in words is "three hundred eighty-four billion, one hundred fifteen million, six hundred three thousand, six hundred eighty".