384096323520 has 1680 divisors, whose sum is σ = 1754668970208. Its totient is φ = 79009136640.

The previous prime is 384096323503. The next prime is 384096323573. The reversal of 384096323520 is 25323690483.

384096323520 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 9 + 632 + 3 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 709974450 + ... + 709974990.

Almost surely, 2^384096323520 is an apocalyptic number.

384096323520 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 384096323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877334485104).

384096323520 is an abundant number, since it is smaller than the sum of its proper divisors (1370572646688).

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

384096323520 is a wasteful number, since it uses less digits than its factorization.

384096323520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 384096323520 in words is "three hundred eighty-four billion, ninety-six million, three hundred twenty-three thousand, five hundred twenty".