384298567608480 has 384 divisors, whose sum is σ = 1432493075220480. Its totient is φ = 84732958248960.

The previous prime is 384298567608469. The next prime is 384298567608481. The reversal of 384298567608480 is 84806765892483.

It is a junction number, because it is equal to n+sod(n) for n = 384298567608396 and 384298567608405.

It is not an unprimeable number, because it can be changed into a prime (384298567608481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104499547 + ... + 108114533.

It is an arithmetic number, because the mean of its divisors is an integer number (3730450716720).

Almost surely, 2^{384298567608480} is an apocalyptic number.

384298567608480 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 384298567608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716246537610240).

384298567608480 is an abundant number, since it is smaller than the sum of its proper divisors (1048194507612000).

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

384298567608480 is a wasteful number, since it uses less digits than its factorization.

384298567608480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616132 (or 3616124 counting only the distinct ones).

The product of its (nonzero) digits is 4459069440, while the sum is 78.

The spelling of 384298567608480 in words is "three hundred eighty-four trillion, two hundred ninety-eight billion, five hundred sixty-seven million, six hundred eight thousand, four hundred eighty".