3399384576 has 320 divisors, whose sum is σ = 10813879296. Its totient is φ = 928972800.

The previous prime is 3399384551. The next prime is 3399384589. The reversal of 3399384576 is 6754839933.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46566876 + ... + 46566948.

Almost surely, 2^3399384576 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 3399384576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406939648).

3399384576 is an abundant number, since it is smaller than the sum of its proper divisors (7414494720).

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

3399384576 is an equidigital number, since it uses as much as digits as its factorization.

3399384576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 217 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 57.

The square root of 3399384576 is about 58304.2414923649. The cubic root of 3399384576 is about 1503.6038642850.

The spelling of 3399384576 in words is "three billion, three hundred ninety-nine million, three hundred eighty-four thousand, five hundred seventy-six".