3168880 has 80 divisors (see below), whose sum is σ = 8686944. Its totient is φ = 1059840.

The previous prime is 3168863. The next prime is 3168911. The reversal of 3168880 is 888613.

3168880 = 188² + 189² + ... + 252².

3168880 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11302 + ... + 11578.

Almost surely, 2^3168880 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 3168880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343472).

3168880 is an abundant number, since it is smaller than the sum of its proper divisors (5518064).

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

3168880 is a wasteful number, since it uses less digits than its factorization.

3168880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 3168880 is about 1780.1348263545. The cubic root of 3168880 is about 146.8820069088.

The spelling of 3168880 in words is "three million, one hundred sixty-eight thousand, eight hundred eighty".