3855085920 has 384 divisors, whose sum is σ = 16329600000. Its totient is φ = 829218816.

The previous prime is 3855085919. The next prime is 3855085943. The reversal of 3855085920 is 295805583.

3855085920 is a `hidden beast` number, since 3 + 8 + 5 + 50 + 8 + 592 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 510331 + ... + 517829.

It is an arithmetic number, because the mean of its divisors is an integer number (42525000).

Almost surely, 2^3855085920 is an apocalyptic number.

3855085920 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 3855085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800000).

3855085920 is an abundant number, since it is smaller than the sum of its proper divisors (12474514080).

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

3855085920 is a wasteful number, since it uses less digits than its factorization.

3855085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7547 (or 7533 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 3855085920 is about 62089.3382151880. The cubic root of 3855085920 is about 1567.9950497900.

The spelling of 3855085920 in words is "three billion, eight hundred fifty-five million, eighty-five thousand, nine hundred twenty".