3380604768 has 192 divisors, whose sum is σ = 10895109120. Its totient is φ = 1014368256.

The previous prime is 3380604763. The next prime is 3380604769. The reversal of 3380604768 is 8674060833.

3380604768 is a `hidden beast` number, since 3 + 38 + 0 + 604 + 7 + 6 + 8 = 666.

It is a super-3 number, since 3×3380604768³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380604763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332821 + ... + 342827.

It is an arithmetic number, because the mean of its divisors is an integer number (56745360).

Almost surely, 2^3380604768 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 3380604768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447554560).

3380604768 is an abundant number, since it is smaller than the sum of its proper divisors (7514504352).

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

3380604768 is a wasteful number, since it uses less digits than its factorization.

3380604768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10066 (or 10052 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3380604768 is about 58142.9683452780. The cubic root of 3380604768 is about 1500.8298767850.

The spelling of 3380604768 in words is "three billion, three hundred eighty million, six hundred four thousand, seven hundred sixty-eight".