384348637872 has 200 divisors, whose sum is σ = 1121185663136. Its totient is φ = 127108859904.

The previous prime is 384348637853. The next prime is 384348637891. The reversal of 384348637872 is 278736843483.

384348637872 is a `hidden beast` number, since 3 + 8 + 43 + 486 + 37 + 87 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (384348637853) and next prime (384348637891).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 216289848 + ... + 216291624.

Almost surely, 2^384348637872 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 384348637872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560592831568).

384348637872 is an abundant number, since it is smaller than the sum of its proper divisors (736837025264).

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

384348637872 is a wasteful number, since it uses less digits than its factorization.

384348637872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3002 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 384348637872 in words is "three hundred eighty-four billion, three hundred forty-eight million, six hundred thirty-seven thousand, eight hundred seventy-two".