3283326144 has 336 divisors, whose sum is σ = 11893966560. Its totient is φ = 882524160.

The previous prime is 3283326121. The next prime is 3283326149. The reversal of 3283326144 is 4416233823.

3283326144 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 32 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 3283326099 and 3283326108.

It is not an unprimeable number, because it can be changed into a prime (3283326149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438284 + ... + 1440564.

It is an arithmetic number, because the mean of its divisors is an integer number (35398710).

Almost surely, 2^3283326144 is an apocalyptic number.

3283326144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3283326144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946983280).

3283326144 is an abundant number, since it is smaller than the sum of its proper divisors (8610640416).

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

3283326144 is a wasteful number, since it uses less digits than its factorization.

3283326144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333 (or 2310 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 3283326144 is about 57300.3153918022. The cubic root of 3283326144 is about 1486.2938300598.

Adding to 3283326144 its reverse (4416233823), we get a palindrome (7699559967).

The spelling of 3283326144 in words is "three billion, two hundred eighty-three million, three hundred twenty-six thousand, one hundred forty-four".