3855101822208 has 1944 divisors, whose sum is σ = 15135210581400. Its totient is φ = 934918225920.

The previous prime is 3855101822141. The next prime is 3855101822267. The reversal of 3855101822208 is 8022281015583.

3855101822208 is a `hidden beast` number, since 3 + 85 + 510 + 18 + 22 + 20 + 8 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2032472219904 + 1822629602304 = 1425648^2 + 1350048^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25873166518 + ... + 25873166666.

Almost surely, 2^{3855101822208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3855101822208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567605290700).

3855101822208 is an abundant number, since it is smaller than the sum of its proper divisors (11280108759192).

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

3855101822208 is a wasteful number, since it uses less digits than its factorization.

3855101822208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 3855101822208 in words is "three trillion, eight hundred fifty-five billion, one hundred one million, eight hundred twenty-two thousand, two hundred eight".