3875880960 has 360 divisors, whose sum is σ = 15375849216. Its totient is φ = 884736000.

The previous prime is 3875880929. The next prime is 3875880973. The reversal of 3875880960 is 690885783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 3875880897 and 3875880906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5160585 + ... + 5161335.

Almost surely, 2^3875880960 is an apocalyptic number.

3875880960 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 3875880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7687924608).

3875880960 is an abundant number, since it is smaller than the sum of its proper divisors (11499968256).

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

3875880960 is an equidigital number, since it uses as much as digits as its factorization.

3875880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 3875880960 is about 62256.5736288145. The cubic root of 3875880960 is about 1570.8093464540.

The spelling of 3875880960 in words is "three billion, eight hundred seventy-five million, eight hundred eighty thousand, nine hundred sixty".