3282423144 has 192 divisors, whose sum is σ = 11102286720. Its totient is φ = 786931200.

The previous prime is 3282423091. The next prime is 3282423163. The reversal of 3282423144 is 4413242823.

3282423144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258054 + ... + 270474.

It is an arithmetic number, because the mean of its divisors is an integer number (57824410).

Almost surely, 2^3282423144 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 3282423144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551143360).

3282423144 is an abundant number, since it is smaller than the sum of its proper divisors (7819863576).

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

3282423144 is a wasteful number, since it uses less digits than its factorization.

3282423144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12472 (or 12457 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 3282423144 is about 57292.4353121771. The cubic root of 3282423144 is about 1486.1575610927.

Adding to 3282423144 its reverse (4413242823), we get a palindrome (7695665967).

It can be divided in two parts, 3282 and 423144, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 3282423144 in words is "three billion, two hundred eighty-two million, four hundred twenty-three thousand, one hundred forty-four".