3123648 has 168 divisors, whose sum is σ = 10698480. Its totient is φ = 860160.

The previous prime is 3123643. The next prime is 3123671. The reversal of 3123648 is 8463213.

It is a happy number.

3123648 is a `hidden beast` number, since 3 + 12 + 3 + 648 = 666.

3123648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 107698 + ... + 107726.

Almost surely, 2^3123648 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 3123648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349240).

3123648 is an abundant number, since it is smaller than the sum of its proper divisors (7574832).

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

3123648 is a wasteful number, since it uses less digits than its factorization.

3123648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 62 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3123648 is about 1767.3845082494. The cubic root of 3123648 is about 146.1797997521.

The spelling of 3123648 in words is "three million, one hundred twenty-three thousand, six hundred forty-eight".