3408953856 has 640 divisors, whose sum is σ = 12539197440. Its totient is φ = 796262400.

The previous prime is 3408953831. The next prime is 3408953869. The reversal of 3408953856 is 6583598043.

It is a happy number.

It is a super-3 number, since 3×3408953856³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3408953799 and 3408953808.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83145196 + ... + 83145236.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 2^3408953856 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 3408953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269598720).

3408953856 is an abundant number, since it is smaller than the sum of its proper divisors (9130243584).

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

3408953856 is a wasteful number, since it uses less digits than its factorization.

3408953856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The square root of 3408953856 is about 58386.2471477659. The cubic root of 3408953856 is about 1505.0134259278.

The spelling of 3408953856 in words is "three billion, four hundred eight million, nine hundred fifty-three thousand, eight hundred fifty-six".