3321287424 has 648 divisors, whose sum is σ = 12553037952. Its totient is φ = 836075520.

The previous prime is 3321287407. The next prime is 3321287447. The reversal of 3321287424 is 4247821233.

It is a happy number.

3321287424 is a `hidden beast` number, since 332 + 1 + 287 + 42 + 4 = 666.

It is a super-2 number, since 2×3321287424² = 22061900305641111552, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45497052 + ... + 45497124.

Almost surely, 2^3321287424 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 3321287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276518976).

3321287424 is an abundant number, since it is smaller than the sum of its proper divisors (9231750528).

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

3321287424 is a wasteful number, since it uses less digits than its factorization.

3321287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 3321287424 is about 57630.6118655702. The cubic root of 3321287424 is about 1491.9999904166. Note that the first 5 decimals are identical.

The spelling of 3321287424 in words is "three billion, three hundred twenty-one million, two hundred eighty-seven thousand, four hundred twenty-four".