3324642144 has 24 divisors (see below), whose sum is σ = 8727185880. Its totient is φ = 1108214016.

The previous prime is 3324642143. The next prime is 3324642161. The reversal of 3324642144 is 4412464233.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3324642144² = 22106490771321833472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324642143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17315749 + ... + 17315940.

It is an arithmetic number, because the mean of its divisors is an integer number (363632745).

Almost surely, 2^3324642144 is an apocalyptic number.

It is an amenable number.

3324642144 is an abundant number, since it is smaller than the sum of its proper divisors (5402543736).

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

3324642144 is a wasteful number, since it uses less digits than its factorization.

3324642144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34631702 (or 34631694 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

The square root of 3324642144 is about 57659.7098848060. The cubic root of 3324642144 is about 1492.5021609412.

The spelling of 3324642144 in words is "three billion, three hundred twenty-four million, six hundred forty-two thousand, one hundred forty-four".