3846144 has 52 divisors (see below), whose sum is σ = 10287896. Its totient is φ = 1277952.

The previous prime is 3846133. The next prime is 3846149. The reversal of 3846144 is 4416483.

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

It is not an unprimeable number, because it can be changed into a prime (3846149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12132 + ... + 12444.

Almost surely, 2^3846144 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 3846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143948).

3846144 is an abundant number, since it is smaller than the sum of its proper divisors (6441752).

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

3846144 is an equidigital number, since it uses as much as digits as its factorization.

3846144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 318 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 3846144 is about 1961.1588410937. The cubic root of 3846144 is about 156.6781783202.

It can be divided in two parts, 384 and 6144, that multiplied together give a square (2359296 = 1536²).

The spelling of 3846144 in words is "three million, eight hundred forty-six thousand, one hundred forty-four".