3408685056 has 288 divisors, whose sum is σ = 11652076800. Its totient is φ = 939294720.

The previous prime is 3408684991. The next prime is 3408685067. The reversal of 3408685056 is 6505868043.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3741241 + ... + 3742151.

It is an arithmetic number, because the mean of its divisors is an integer number (40458600).

Almost surely, 2^3408685056 is an apocalyptic number.

3408685056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3408685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826038400).

3408685056 is an abundant number, since it is smaller than the sum of its proper divisors (8243391744).

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

3408685056 is a wasteful number, since it uses less digits than its factorization.

3408685056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 3408685056 is about 58383.9451904374. The cubic root of 3408685056 is about 1504.9738675315.

The spelling of 3408685056 in words is "three billion, four hundred eight million, six hundred eighty-five thousand, fifty-six".