3126816 has 192 divisors, whose sum is σ = 11612160. Its totient is φ = 794880.

The previous prime is 3126803. The next prime is 3126821. The reversal of 3126816 is 6186213.

3126816 = 13³ + 14³ + ... + 59³.

3126816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3126816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66505 + ... + 66551.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

Almost surely, 2^3126816 is an apocalyptic number.

3126816 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 3126816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

3126816 is an abundant number, since it is smaller than the sum of its proper divisors (8485344).

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

3126816 is a wasteful number, since it uses less digits than its factorization.

3126816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3126816 is about 1768.2805207319. The cubic root of 3126816 is about 146.2292015131.

The spelling of 3126816 in words is "three million, one hundred twenty-six thousand, eight hundred sixteen".