3309424416 has 72 divisors (see below), whose sum is σ = 9516992940. Its totient is φ = 1090738176.

The previous prime is 3309424403. The next prime is 3309424423. The reversal of 3309424416 is 6144249033.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2829814416 + 479610000 = 53196^2 + 21900^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 38925 + ... + 90188.

Almost surely, 2^3309424416 is an apocalyptic number.

3309424416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3309424416 is an abundant number, since it is smaller than the sum of its proper divisors (6207568524).

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

3309424416 is a wasteful number, since it uses less digits than its factorization.

3309424416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129218 (or 129207 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3309424416 is about 57527.5969948337. The cubic root of 3309424416 is about 1490.2214910287.

The spelling of 3309424416 in words is "three billion, three hundred nine million, four hundred twenty-four thousand, four hundred sixteen".