384121170576 has 240 divisors, whose sum is σ = 1263770988480. Its totient is φ = 107376122880.

The previous prime is 384121170529. The next prime is 384121170577. The reversal of 384121170576 is 675071121483.

384121170576 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 2 + 1 + 1 + 70 + 576 = 666.

It is not an unprimeable number, because it can be changed into a prime (384121170577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36833875 + ... + 36844301.

It is an arithmetic number, because the mean of its divisors is an integer number (5265712452).

Almost surely, 2^384121170576 is an apocalyptic number.

384121170576 is a gapful number since it is divisible by the number (36) 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 384121170576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631885494240).

384121170576 is an abundant number, since it is smaller than the sum of its proper divisors (879649817904).

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

384121170576 is a wasteful number, since it uses less digits than its factorization.

384121170576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12254 (or 12245 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 384121170576 in words is "three hundred eighty-four billion, one hundred twenty-one million, one hundred seventy thousand, five hundred seventy-six".