384394254336 has 288 divisors, whose sum is σ = 1206364723200. Its totient is φ = 117468610560.

The previous prime is 384394254329. The next prime is 384394254347. The reversal of 384394254336 is 633452493483.

384394254336 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 94 + 2 + 543 + 3 + 6 = 666.

384394254336 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10838745 + ... + 10874151.

It is an arithmetic number, because the mean of its divisors is an integer number (4188766400).

Almost surely, 2^384394254336 is an apocalyptic number.

384394254336 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 384394254336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603182361600).

384394254336 is an abundant number, since it is smaller than the sum of its proper divisors (821970468864).

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

384394254336 is a wasteful number, since it uses less digits than its factorization.

384394254336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35485 (or 35462 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 384394254336 in words is "three hundred eighty-four billion, three hundred ninety-four million, two hundred fifty-four thousand, three hundred thirty-six".