3290144 has 48 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 1378560.

The previous prime is 3290117. The next prime is 3290149. The reversal of 3290144 is 4410923.

3290144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3290149) 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 7 ways as a sum of consecutive naturals, for example, 4217 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 2^3290144 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 3290144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

3290144 is an abundant number, since it is smaller than the sum of its proper divisors (4330336).

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

3290144 is a wasteful number, since it uses less digits than its factorization.

3290144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 3290144 is about 1813.8754091723. The cubic root of 3290144 is about 148.7321886260.

The spelling of 3290144 in words is "three million, two hundred ninety thousand, one hundred forty-four".