3408879168 has 280 divisors, whose sum is σ = 10940320512. Its totient is φ = 1045426176.

The previous prime is 3408879163. The next prime is 3408879181. The reversal of 3408879168 is 8619788043.

3408879168 is a `hidden beast` number, since 3 + 408 + 8 + 79 + 168 = 666.

3408879168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3408879163) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4141605 + ... + 4142427.

Almost surely, 2^3408879168 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 3408879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470160256).

3408879168 is an abundant number, since it is smaller than the sum of its proper divisors (7531441344).

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

3408879168 is a wasteful number, since it uses less digits than its factorization.

3408879168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 3408879168 is about 58385.6075415851. The cubic root of 3408879168 is about 1505.0024345534.

The spelling of 3408879168 in words is "three billion, four hundred eight million, eight hundred seventy-nine thousand, one hundred sixty-eight".