3323295360 has 768 divisors, whose sum is σ = 14664499200. Its totient is φ = 673505280.

The previous prime is 3323295331. The next prime is 3323295361. The reversal of 3323295360 is 635923233.

3323295360 is a `hidden beast` number, since 3 + 3 + 2 + 3 + 295 + 360 = 666.

It is a super-3 number, since 3×3323295360³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3323295361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26167617 + ... + 26167743.

It is an arithmetic number, because the mean of its divisors is an integer number (19094400).

Almost surely, 2^3323295360 is an apocalyptic number.

3323295360 is a gapful number since it is divisible by the number (30) 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 3323295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7332249600).

3323295360 is an abundant number, since it is smaller than the sum of its proper divisors (11341203840).

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

3323295360 is a wasteful number, since it uses less digits than its factorization.

3323295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

The square root of 3323295360 is about 57648.0299750130. The cubic root of 3323295360 is about 1492.3006004497.

The spelling of 3323295360 in words is "three billion, three hundred twenty-three million, two hundred ninety-five thousand, three hundred sixty".