3399002784 has 192 divisors, whose sum is σ = 10178784000. Its totient is φ = 1103072256.

The previous prime is 3399002779. The next prime is 3399002807. The reversal of 3399002784 is 4872009933.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 9112422 + ... + 9112794.

It is an arithmetic number, because the mean of its divisors is an integer number (53014500).

Almost surely, 2^3399002784 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 3399002784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089392000).

3399002784 is an abundant number, since it is smaller than the sum of its proper divisors (6779781216).

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

3399002784 is a wasteful number, since it uses less digits than its factorization.

3399002784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3399002784 is about 58300.9672647033. The cubic root of 3399002784 is about 1503.5475712113.

The spelling of 3399002784 in words is "three billion, three hundred ninety-nine million, two thousand, seven hundred eighty-four".