384959518380 has 384 divisors, whose sum is σ = 1266035097600. Its totient is φ = 96982272000.

The previous prime is 384959518309. The next prime is 384959518387. The reversal of 384959518380 is 83815959483.

384959518380 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 595 + 1 + 8 + 38 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (384959518387) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123422461 + ... + 123425579.

It is an arithmetic number, because the mean of its divisors is an integer number (3296966400).

Almost surely, 2^384959518380 is an apocalyptic number.

384959518380 is a gapful number since it is divisible by the number (30) 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 384959518380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633017548800).

384959518380 is an abundant number, since it is smaller than the sum of its proper divisors (881075579220).

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

384959518380 is a wasteful number, since it uses less digits than its factorization.

384959518380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 384959518380 in words is "three hundred eighty-four billion, nine hundred fifty-nine million, five hundred eighteen thousand, three hundred eighty".