3384406608 has 80 divisors (see below), whose sum is σ = 9551817216. Its totient is φ = 1024078720.

The previous prime is 3384406607. The next prime is 3384406657. The reversal of 3384406608 is 8066044833.

3384406608 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3384406608² = 22908416176548131328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3384406608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384406601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387991 + ... + 396617.

Almost surely, 2^3384406608 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 3384406608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775908608).

3384406608 is an abundant number, since it is smaller than the sum of its proper divisors (6167410608).

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

3384406608 is a wasteful number, since it uses less digits than its factorization.

3384406608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392 (or 9386 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3384406608 is about 58175.6530517707. The cubic root of 3384406608 is about 1501.3922788621.

The spelling of 3384406608 in words is "three billion, three hundred eighty-four million, four hundred six thousand, six hundred eight".