384846343934976 has 2112 divisors, whose sum is σ = 1506151440009216. Its totient is φ = 95245723238400.

The previous prime is 384846343934881. The next prime is 384846343935013. The reversal of 384846343934976 is 679439343648483.

384846343934976 is a `hidden beast` number, since 3 + 8 + 4 + 8 + 4 + 6 + 34 + 3 + 93 + 497 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×384846343934976² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a junction number, because it is equal to n+sod(n) for n = 384846343934895 and 384846343934904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33779187136 + ... + 33779198528.

It is an arithmetic number, because the mean of its divisors is an integer number (713139886368).

Almost surely, 2^{384846343934976} is an apocalyptic number.

384846343934976 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 384846343934976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753075720004608).

384846343934976 is an abundant number, since it is smaller than the sum of its proper divisors (1121305096074240).

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

384846343934976 is a wasteful number, since it uses less digits than its factorization.

384846343934976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530 (or 11500 counting only the distinct ones).

The product of its digits is 27088846848, while the sum is 81.

The spelling of 384846343934976 in words is "three hundred eighty-four trillion, eight hundred forty-six billion, three hundred forty-three million, nine hundred thirty-four thousand, nine hundred seventy-six".