384068235030480 has 4320 divisors, whose sum is σ = 1893260580880032. Its totient is φ = 68865868431360.

The previous prime is 384068235030353. The next prime is 384068235030563. The reversal of 384068235030480 is 84030532860483.

384068235030480 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 6 + 82 + 3 + 50 + 30 + 480 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 110295868769856 + 273772366260624 = 10502184^2 + 16546068^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 148117328064 + ... + 148117330656.

Almost surely, 2^{384068235030480} is an apocalyptic number.

384068235030480 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 384068235030480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946630290440016).

384068235030480 is an abundant number, since it is smaller than the sum of its proper divisors (1509192345849552).

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

384068235030480 is a wasteful number, since it uses less digits than its factorization.

384068235030480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2808 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 384068235030480 in words is "three hundred eighty-four trillion, sixty-eight billion, two hundred thirty-five million, thirty thousand, four hundred eighty".