3338784768 has 208 divisors, whose sum is σ = 10289992896. Its totient is φ = 951582720.

The previous prime is 3338784679. The next prime is 3338784773. The reversal of 3338784768 is 8674878333.

It is a super-2 number, since 2×3338784768² = 22294967454057627648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2297130 + ... + 2298582.

Almost surely, 2^3338784768 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 3338784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144996448).

3338784768 is an abundant number, since it is smaller than the sum of its proper divisors (6951208128).

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

3338784768 is a wasteful number, since it uses less digits than its factorization.

3338784768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1486 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The square root of 3338784768 is about 57782.2184413164. The cubic root of 3338784768 is about 1494.6154748316.

The spelling of 3338784768 in words is "three billion, three hundred thirty-eight million, seven hundred eighty-four thousand, seven hundred sixty-eight".