3393427968 has 480 divisors, whose sum is σ = 12128688000. Its totient is φ = 910393344.

The previous prime is 3393427951. The next prime is 3393427969. The reversal of 3393427968 is 8697243933.

3393427968 is a `hidden beast` number, since 339 + 34 + 279 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5878656) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3393427969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30030280 + ... + 30030392.

It is an arithmetic number, because the mean of its divisors is an integer number (25268100).

Almost surely, 2^3393427968 is an apocalyptic number.

3393427968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3393427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064344000).

3393427968 is an abundant number, since it is smaller than the sum of its proper divisors (8735260032).

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

3393427968 is a wasteful number, since it uses less digits than its factorization.

3393427968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 144 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 3393427968 is about 58253.1369799086. The cubic root of 3393427968 is about 1502.7251154989.

The spelling of 3393427968 in words is "three billion, three hundred ninety-three million, four hundred twenty-seven thousand, nine hundred sixty-eight".