382708834560 has 1152 divisors, whose sum is σ = 1557626112000. Its totient is φ = 88201986048.

The previous prime is 382708834517. The next prime is 382708834589. The reversal of 382708834560 is 65438807283.

382708834560 is a `hidden beast` number, since 3 + 8 + 2 + 70 + 8 + 8 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×382708834560³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 382708834497 and 382708834506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 913386031 + ... + 913386449.

It is an arithmetic number, because the mean of its divisors is an integer number (1352106000).

Almost surely, 2^382708834560 is an apocalyptic number.

382708834560 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 382708834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778813056000).

382708834560 is an abundant number, since it is smaller than the sum of its proper divisors (1174917277440).

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

382708834560 is a wasteful number, since it uses less digits than its factorization.

382708834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 382708834560 in words is "three hundred eighty-two billion, seven hundred eight million, eight hundred thirty-four thousand, five hundred sixty".