3880884160 has 112 divisors (see below), whose sum is σ = 9565538400. Its totient is φ = 1498742784.

The previous prime is 3880884149. The next prime is 3880884167. The reversal of 3880884160 is 614880883.

3880884160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3880884160² = 30122523726677811200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3880884160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3880884167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223056 + ... + 1226224.

Almost surely, 2^3880884160 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 3880884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782769200).

3880884160 is an abundant number, since it is smaller than the sum of its proper divisors (5684654240).

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

3880884160 is a wasteful number, since it uses less digits than its factorization.

3880884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 46.

The square root of 3880884160 is about 62296.7427719941. The cubic root of 3880884160 is about 1571.4849514915.

The spelling of 3880884160 in words is "three billion, eight hundred eighty million, eight hundred eighty-four thousand, one hundred sixty".