3408226848 has 384 divisors, whose sum is σ = 11379916800. Its totient is φ = 984462336.

The previous prime is 3408226837. The next prime is 3408226849. The reversal of 3408226848 is 8486228043.

3408226848 is a `hidden beast` number, since 340 + 8 + 2 + 268 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (3408226849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20408461 + ... + 20408627.

It is an arithmetic number, because the mean of its divisors is an integer number (29635200).

Almost surely, 2^3408226848 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 3408226848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689958400).

3408226848 is an abundant number, since it is smaller than the sum of its proper divisors (7971689952).

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

3408226848 is a wasteful number, since it uses less digits than its factorization.

3408226848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3408226848 is about 58380.0209660805. The cubic root of 3408226848 is about 1504.9064297996.

The spelling of 3408226848 in words is "three billion, four hundred eight million, two hundred twenty-six thousand, eight hundred forty-eight".