3418159968 has 72 divisors (see below), whose sum is σ = 9816717456. Its totient is φ = 1128096000.

The previous prime is 3418159967. The next prime is 3418160003. The reversal of 3418159968 is 8699518143.

3418159968 is a `hidden beast` number, since 3 + 41 + 8 + 1 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3418159968² = 23367635133675522048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3418159967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29668 + ... + 87843.

It is an arithmetic number, because the mean of its divisors is an integer number (136343298).

Almost surely, 2^3418159968 is an apocalyptic number.

It is an amenable number.

3418159968 is an abundant number, since it is smaller than the sum of its proper divisors (6398557488).

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

3418159968 is a wasteful number, since it uses less digits than its factorization.

3418159968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117628 (or 117617 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 3418159968 is about 58465.0320105959. The cubic root of 3418159968 is about 1506.3670052574.

It can be divided in two parts, 34181 and 59968, that added together give a palindrome (94149).

The spelling of 3418159968 in words is "three billion, four hundred eighteen million, one hundred fifty-nine thousand, nine hundred sixty-eight".