3706144 has 48 divisors (see below), whose sum is σ = 8043840. Its totient is φ = 1670400.

The previous prime is 3706141. The next prime is 3706163. The reversal of 3706144 is 4416073.

It is not an unprimeable number, because it can be changed into a prime (3706141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24469 + ... + 24619.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 2^3706144 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 3706144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021920).

3706144 is an abundant number, since it is smaller than the sum of its proper divisors (4337696).

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

3706144 is a wasteful number, since it uses less digits than its factorization.

3706144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3706144 is about 1925.1348004750. The cubic root of 3706144 is about 154.7536008829.

The spelling of 3706144 in words is "three million, seven hundred six thousand, one hundred forty-four".