384385620960 has 768 divisors, whose sum is σ = 1604219904000. Its totient is φ = 84868300800.

The previous prime is 384385620947. The next prime is 384385620961. The reversal of 384385620960 is 69026583483.

384385620960 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 8 + 5 + 620 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 384385620897 and 384385620906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384385620961) 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, 25035366 + ... + 25050714.

It is an arithmetic number, because the mean of its divisors is an integer number (2088828000).

Almost surely, 2^384385620960 is an apocalyptic number.

384385620960 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 384385620960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802109952000).

384385620960 is an abundant number, since it is smaller than the sum of its proper divisors (1219834283040).

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

384385620960 is a wasteful number, since it uses less digits than its factorization.

384385620960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15432 (or 15418 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 384385620960 in words is "three hundred eighty-four billion, three hundred eighty-five million, six hundred twenty thousand, nine hundred sixty".