384046202880 has 336 divisors, whose sum is σ = 1366000275360. Its totient is φ = 102374572032.

The previous prime is 384046202873. The next prime is 384046202909. The reversal of 384046202880 is 88202640483.

384046202880 is a `hidden beast` number, since 38 + 404 + 6 + 202 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×384046202880² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 141556404 + ... + 141559116.

It is an arithmetic number, because the mean of its divisors is an integer number (4065477010).

Almost surely, 2^384046202880 is an apocalyptic number.

384046202880 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 384046202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683000137680).

384046202880 is an abundant number, since it is smaller than the sum of its proper divisors (981954072480).

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

384046202880 is an frugal number, since it uses more digits than its factorization.

384046202880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 384046202880 in words is "three hundred eighty-four billion, forty-six million, two hundred two thousand, eight hundred eighty".