3321123264 has 252 divisors, whose sum is σ = 10291224528. Its totient is φ = 1023590400.

The previous prime is 3321123263. The next prime is 3321123277. The reversal of 3321123264 is 4623211233.

3321123264 is a `hidden beast` number, since 3 + 321 + 12 + 326 + 4 = 666.

It is a super-2 number, since 2×3321123264² = 22059719469364027392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321123263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11818804 + ... + 11819084.

Almost surely, 2^3321123264 is an apocalyptic number.

3321123264 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 3321123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145612264).

3321123264 is an abundant number, since it is smaller than the sum of its proper divisors (6970101264).

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

3321123264 is a wasteful number, since it uses less digits than its factorization.

3321123264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 374 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 3321123264 is about 57629.1876048934. The cubic root of 3321123264 is about 1491.9754085078.

Adding to 3321123264 its reverse (4623211233), we get a palindrome (7944334497).

The spelling of 3321123264 in words is "three billion, three hundred twenty-one million, one hundred twenty-three thousand, two hundred sixty-four".