382955489280 has 1536 divisors, whose sum is σ = 1732998758400. Its totient is φ = 78033715200.

The previous prime is 382955489261. The next prime is 382955489327. The reversal of 382955489280 is 82984559283.

382955489280 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 5 + 548 + 9 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 779949835 + ... + 779950325.

It is an arithmetic number, because the mean of its divisors is an integer number (1128254400).

Almost surely, 2^382955489280 is an apocalyptic number.

382955489280 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 382955489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866499379200).

382955489280 is an abundant number, since it is smaller than the sum of its proper divisors (1350043269120).

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

382955489280 is a wasteful number, since it uses less digits than its factorization.

382955489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 382955489280 in words is "three hundred eighty-two billion, nine hundred fifty-five million, four hundred eighty-nine thousand, two hundred eighty".