3855827040 has 192 divisors, whose sum is σ = 13202481600. Its totient is φ = 940253184.

The previous prime is 3855827039. The next prime is 3855827047. The reversal of 3855827040 is 407285583.

It is a junction number, because it is equal to n+sod(n) for n = 3855826983 and 3855827001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3855827047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677326 + ... + 682994.

It is an arithmetic number, because the mean of its divisors is an integer number (68762925).

Almost surely, 2^3855827040 is an apocalyptic number.

3855827040 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 3855827040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601240800).

3855827040 is an abundant number, since it is smaller than the sum of its proper divisors (9346654560).

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

3855827040 is a wasteful number, since it uses less digits than its factorization.

3855827040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5809 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 3855827040 is about 62095.3061027965. The cubic root of 3855827040 is about 1568.0955229533.

The spelling of 3855827040 in words is "three billion, eight hundred fifty-five million, eight hundred twenty-seven thousand, forty".