3321347328 has 378 divisors, whose sum is σ = 11001786054. Its totient is φ = 994332672.

The previous prime is 3321347321. The next prime is 3321347329. The reversal of 3321347328 is 8237431233.

3321347328 is a `hidden beast` number, since 3 + 321 + 3 + 4 + 7 + 328 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1224440064 + 2096907264 = 34992^2 + 45792^2 .

It is a super-2 number, since 2×3321347328² = 22062696146425479168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3321347292 and 3321347301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321347321) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 89766126 + ... + 89766162.

Almost surely, 2^3321347328 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 3321347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500893027).

3321347328 is an abundant number, since it is smaller than the sum of its proper divisors (7680438726).

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

3321347328 is an frugal number, since it uses more digits than its factorization.

3321347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 55 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3321347328 is about 57631.1315870164. The cubic root of 3321347328 is about 1492.0089604553.

The spelling of 3321347328 in words is "three billion, three hundred twenty-one million, three hundred forty-seven thousand, three hundred twenty-eight".