382398077325600 has 4032 divisors, whose sum is σ = 1689396621696000. Its totient is φ = 84399315517440.

The previous prime is 382398077325569. The next prime is 382398077325601. The reversal of 382398077325600 is 6523770893283.

382398077325600 is a `hidden beast` number, since 3 + 8 + 2 + 39 + 8 + 0 + 7 + 7 + 32 + 560 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (382398077325601) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 836757280572 + ... + 836757281028.

It is an arithmetic number, because the mean of its divisors is an integer number (418997178000).

Almost surely, 2^{382398077325600} is an apocalyptic number.

382398077325600 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 382398077325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844698310848000).

382398077325600 is an abundant number, since it is smaller than the sum of its proper divisors (1306998544370400).

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

382398077325600 is an equidigital number, since it uses as much as digits as its factorization.

382398077325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 382398077325600 in words is "three hundred eighty-two trillion, three hundred ninety-eight billion, seventy-seven million, three hundred twenty-five thousand, six hundred".