3810144 has 96 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 1128960.

The previous prime is 3810143. The next prime is 3810151. The reversal of 3810144 is 4410183.

3810144 = T₁₅₇ + T₁₅₈ + ... + T₂₉₈.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3810144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3810143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53629 + ... + 53699.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

Almost surely, 2^3810144 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 3810144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352).

3810144 is an abundant number, since it is smaller than the sum of its proper divisors (7366560).

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

3810144 is a wasteful number, since it uses less digits than its factorization.

3810144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 3810144 is about 1951.9590159632. The cubic root of 3810144 is about 156.1878079957.

The spelling of 3810144 in words is "three million, eight hundred ten thousand, one hundred forty-four".