3830144 has 32 divisors (see below), whose sum is σ = 7968240. Its totient is φ = 1830400.

The previous prime is 3830137. The next prime is 3830147. The reversal of 3830144 is 4410383.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2294 + ... + 3594.

Almost surely, 2^3830144 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 3830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984120).

3830144 is an abundant number, since it is smaller than the sum of its proper divisors (4138096).

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

3830144 is a wasteful number, since it uses less digits than its factorization.

3830144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3830144 is about 1957.0753690137. The cubic root of 3830144 is about 156.4606153892.

The spelling of 3830144 in words is "three million, eight hundred thirty thousand, one hundred forty-four".