3875385920 has 448 divisors, whose sum is σ = 12008632320. Its totient is φ = 1160552448.

The previous prime is 3875385911. The next prime is 3875385931. The reversal of 3875385920 is 295835783.

It is a tau number, because it is divible by the number of its divisors (448).

It is a zygodrome in base 9.

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, 36218507 + ... + 36218613.

Almost surely, 2^3875385920 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 3875385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004316160).

3875385920 is an abundant number, since it is smaller than the sum of its proper divisors (8133246400).

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

3875385920 is a wasteful number, since it uses less digits than its factorization.

3875385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 50.

The square root of 3875385920 is about 62252.5976968030. The cubic root of 3875385920 is about 1570.7424673302.

The spelling of 3875385920 in words is "three billion, eight hundred seventy-five million, three hundred eighty-five thousand, nine hundred twenty".