384713427840 has 256 divisors, whose sum is σ = 1415336855040. Its totient is φ = 87063552000.

The previous prime is 384713427823. The next prime is 384713427841. The reversal of 384713427840 is 48724317483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384713427841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1215735 + ... + 1499145.

It is an arithmetic number, because the mean of its divisors is an integer number (5528659590).

Almost surely, 2^384713427840 is an apocalyptic number.

384713427840 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 384713427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707668427520).

384713427840 is an abundant number, since it is smaller than the sum of its proper divisors (1030623427200).

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

384713427840 is a wasteful number, since it uses less digits than its factorization.

384713427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283541 (or 283529 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 384713427840 in words is "three hundred eighty-four billion, seven hundred thirteen million, four hundred twenty-seven thousand, eight hundred forty".