3880930176 has 192 divisors, whose sum is σ = 11645462400. Its totient is φ = 1239183360.

The previous prime is 3880930169. The next prime is 3880930199. The reversal of 3880930176 is 6710390883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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, 3892110 + ... + 3893106.

It is an arithmetic number, because the mean of its divisors is an integer number (60653450).

Almost surely, 2^3880930176 is an apocalyptic number.

3880930176 is a gapful number since it is divisible by the number (36) 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 3880930176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5822731200).

3880930176 is an abundant number, since it is smaller than the sum of its proper divisors (7764532224).

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

3880930176 is a wasteful number, since it uses less digits than its factorization.

3880930176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3880930176 is about 62297.1121000003. The cubic root of 3880930176 is about 1571.4911625475.

The spelling of 3880930176 in words is "three billion, eight hundred eighty million, nine hundred thirty thousand, one hundred seventy-six".