384417792000 has 1152 divisors, whose sum is σ = 1570341427200. Its totient is φ = 92012544000.

The previous prime is 384417791971. The next prime is 384417792013. The reversal of 384417792000 is 297714483.

It is a tau number, because it is divible by the number of its divisors (1152).

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 63 ways as a sum of consecutive naturals, for example, 4866047961 + ... + 4866048039.

It is an arithmetic number, because the mean of its divisors is an integer number (1363143600).

Almost surely, 2^384417792000 is an apocalyptic number.

384417792000 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 384417792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785170713600).

384417792000 is an abundant number, since it is smaller than the sum of its proper divisors (1185923635200).

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

384417792000 is an frugal number, since it uses more digits than its factorization.

384417792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 384417792000 in words is "three hundred eighty-four billion, four hundred seventeen million, seven hundred ninety-two thousand".