384670356864 has 128 divisors (see below), whose sum is σ = 1093191936000. Its totient is φ = 119483320320.

The previous prime is 384670356841. The next prime is 384670356869. The reversal of 384670356864 is 468653076483.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×384670356864² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 384670356798 and 384670356807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384670356869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12897 + ... + 877215.

It is an arithmetic number, because the mean of its divisors is an integer number (8540562000).

Almost surely, 2^384670356864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384670356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546595968000).

384670356864 is an abundant number, since it is smaller than the sum of its proper divisors (708521579136).

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

384670356864 is a wasteful number, since it uses less digits than its factorization.

384670356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864416 (or 864404 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 384670356864 in words is "three hundred eighty-four billion, six hundred seventy million, three hundred fifty-six thousand, eight hundred sixty-four".