3309470784 has 315 divisors, whose sum is σ = 10647778933. Its totient is φ = 1016174592.

The previous prime is 3309470743. The next prime is 3309470833. The reversal of 3309470784 is 4870749033.

It is a happy number.

The square root of 3309470784 is 57528.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2576577600 + 732893184 = 50760^2 + 27072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 70414249 + ... + 70414295.

Almost surely, 2^3309470784 is an apocalyptic number.

3309470784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3309470784 is the 57528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3309470784

3309470784 is an abundant number, since it is smaller than the sum of its proper divisors (7338308149).

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

3309470784 is an equidigital number, since it uses as much as digits as its factorization.

3309470784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The cubic root of 3309470784 is about 1490.2284507755.

The spelling of 3309470784 in words is "three billion, three hundred nine million, four hundred seventy thousand, seven hundred eighty-four".