3393600768 has 108 divisors (see below), whose sum is σ = 9875085220. Its totient is φ = 1120739328.

The previous prime is 3393600767. The next prime is 3393600799. The reversal of 3393600768 is 8670063933.

It is a happy number.

3393600768 is a `hidden beast` number, since 3 + 39 + 3 + 600 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2083739904 + 1309860864 = 45648^2 + 36192^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3393600767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244380 + ... + 257892.

Almost surely, 2^3393600768 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 3393600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937542610).

3393600768 is an abundant number, since it is smaller than the sum of its proper divisors (6481484452).

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

3393600768 is a wasteful number, since it uses less digits than its factorization.

3393600768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13644 (or 13627 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3393600768 is about 58254.6201429552. The cubic root of 3393600768 is about 1502.7506223015.

The spelling of 3393600768 in words is "three billion, three hundred ninety-three million, six hundred thousand, seven hundred sixty-eight".