3122688 has 80 divisors (see below), whose sum is σ = 8838720. Its totient is φ = 976896.

The previous prime is 3122671. The next prime is 3122711. The reversal of 3122688 is 8862213.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29131 + ... + 29237.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

Almost surely, 2^3122688 is an apocalyptic number.

3122688 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 3122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419360).

3122688 is an abundant number, since it is smaller than the sum of its proper divisors (5716032).

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

3122688 is a wasteful number, since it uses less digits than its factorization.

3122688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 131 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 3122688 is about 1767.1128996190. The cubic root of 3122688 is about 146.1648229273.

The spelling of 3122688 in words is "three million, one hundred twenty-two thousand, six hundred eighty-eight".