384215883770880 has 3168 divisors, whose sum is σ = 1709990671334400. Its totient is φ = 82241739030528.

The previous prime is 384215883770827. The next prime is 384215883770921. The reversal of 384215883770880 is 88077388512483.

384215883770880 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 1 + 588 + 37 + 7 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 384215883770799 and 384215883770808.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 103089851577 + ... + 103089855303.

Almost surely, 2^{384215883770880} is an apocalyptic number.

384215883770880 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 384215883770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854995335667200).

384215883770880 is an abundant number, since it is smaller than the sum of its proper divisors (1325774787563520).

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

384215883770880 is a wasteful number, since it uses less digits than its factorization.

384215883770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 384215883770880 in words is "three hundred eighty-four trillion, two hundred fifteen billion, eight hundred eighty-three million, seven hundred seventy thousand, eight hundred eighty".