384800555979840 has 3584 divisors, whose sum is σ = 1760821122170880. Its totient is φ = 68604641280000.

The previous prime is 384800555979799. The next prime is 384800555979841. The reversal of 384800555979840 is 48979555008483.

It is not an unprimeable number, because it can be changed into a prime (384800555979841) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 182283540385 + ... + 182283542495.

It is an arithmetic number, because the mean of its divisors is an integer number (491300536320).

Almost surely, 2^{384800555979840} is an apocalyptic number.

384800555979840 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 384800555979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880410561085440).

384800555979840 is an abundant number, since it is smaller than the sum of its proper divisors (1376020566191040).

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

384800555979840 is a wasteful number, since it uses less digits than its factorization.

384800555979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 75.

The spelling of 384800555979840 in words is "three hundred eighty-four trillion, eight hundred billion, five hundred fifty-five million, nine hundred seventy-nine thousand, eight hundred forty".