3126368 has 48 divisors (see below), whose sum is σ = 7457184. Its totient is φ = 1259520.

The previous prime is 3126353. The next prime is 3126377. The reversal of 3126368 is 8636213.

3126368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3126368.

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 7 ways as a sum of consecutive naturals, for example, 3398 + ... + 4218.

It is an arithmetic number, because the mean of its divisors is an integer number (155358).

Almost surely, 2^3126368 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 3126368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728592).

3126368 is an abundant number, since it is smaller than the sum of its proper divisors (4330816).

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

3126368 is a wasteful number, since it uses less digits than its factorization.

3126368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 847 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 3126368 is about 1768.1538394608. The cubic root of 3126368 is about 146.2222174318. Note that the first 4 decimals are identical.

The spelling of 3126368 in words is "three million, one hundred twenty-six thousand, three hundred sixty-eight".