3309424128 has 200 divisors, whose sum is σ = 9952153200. Its totient is φ = 1094860800.

The previous prime is 3309424103. The next prime is 3309424163. The reversal of 3309424128 is 8214249033.

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 = 3309424092 and 3309424101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8252728 + ... + 8253128.

It is an arithmetic number, because the mean of its divisors is an integer number (49760766).

Almost surely, 2^3309424128 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 3309424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976076600).

3309424128 is an abundant number, since it is smaller than the sum of its proper divisors (6642729072).

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

3309424128 is an equidigital number, since it uses as much as digits as its factorization.

3309424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3309424128 is about 57527.5944916872. The cubic root of 3309424128 is about 1490.2214478003.

The spelling of 3309424128 in words is "three billion, three hundred nine million, four hundred twenty-four thousand, one hundred twenty-eight".