3288114144 has 144 divisors (see below), whose sum is σ = 10707959808. Its totient is φ = 937564416.

The previous prime is 3288114119. The next prime is 3288114197. The reversal of 3288114144 is 4414118823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 3288114099 and 3288114108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1222369 + ... + 1225055.

It is an arithmetic number, because the mean of its divisors is an integer number (74360832).

Almost surely, 2^3288114144 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 3288114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353979904).

3288114144 is an abundant number, since it is smaller than the sum of its proper divisors (7419845664).

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

3288114144 is a wasteful number, since it uses less digits than its factorization.

3288114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3306 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 3288114144 is about 57342.0800459837. The cubic root of 3288114144 is about 1487.0159553407.

The spelling of 3288114144 in words is "three billion, two hundred eighty-eight million, one hundred fourteen thousand, one hundred forty-four".