3855422128320 has 1792 divisors, whose sum is σ = 16804500848640. Its totient is φ = 812187648000.

The previous prime is 3855422128289. The next prime is 3855422128333. The reversal of 3855422128320 is 238212245583.

3855422128320 is a `hidden beast` number, since 3 + 8 + 5 + 542 + 2 + 1 + 2 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14226649785 + ... + 14226650055.

Almost surely, 2^{3855422128320} is an apocalyptic number.

3855422128320 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 3855422128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402250424320).

3855422128320 is an abundant number, since it is smaller than the sum of its proper divisors (12949078720320).

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

3855422128320 is a wasteful number, since it uses less digits than its factorization.

3855422128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 3855422128320 in words is "three trillion, eight hundred fifty-five billion, four hundred twenty-two million, one hundred twenty-eight thousand, three hundred twenty".