3880217088 has 640 divisors, whose sum is σ = 14141952000. Its totient is φ = 1035141120.

The previous prime is 3880217063. The next prime is 3880217149. The reversal of 3880217088 is 8807120883.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49116633 + ... + 49116711.

It is an arithmetic number, because the mean of its divisors is an integer number (22096800).

Almost surely, 2^3880217088 is an apocalyptic number.

3880217088 is a gapful number since it is divisible by the number (38) 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 3880217088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976000).

3880217088 is an abundant number, since it is smaller than the sum of its proper divisors (10261734912).

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

3880217088 is a wasteful number, since it uses less digits than its factorization.

3880217088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 3880217088 is about 62291.3885541172. The cubic root of 3880217088 is about 1571.3949072615.

The spelling of 3880217088 in words is "three billion, eight hundred eighty million, two hundred seventeen thousand, eighty-eight".