384052451328 has 1440 divisors, whose sum is σ = 1508841734400. Its totient is φ = 95025954816.

The previous prime is 384052451303. The next prime is 384052451369. The reversal of 384052451328 is 823154250483.

384052451328 is a `hidden beast` number, since 3 + 8 + 40 + 524 + 51 + 32 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3728664525 + ... + 3728664627.

It is an arithmetic number, because the mean of its divisors is an integer number (1047806760).

Almost surely, 2^384052451328 is an apocalyptic number.

384052451328 is a gapful number since it is divisible by the number (38) 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 384052451328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754420867200).

384052451328 is an abundant number, since it is smaller than the sum of its proper divisors (1124789283072).

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

384052451328 is a wasteful number, since it uses less digits than its factorization.

384052451328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 384052451328 in words is "three hundred eighty-four billion, fifty-two million, four hundred fifty-one thousand, three hundred twenty-eight".