3408555648 has 128 divisors (see below), whose sum is σ = 9564825600. Its totient is φ = 1073802240.

The previous prime is 3408555643. The next prime is 3408555697. The reversal of 3408555648 is 8465558043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3408555597 and 3408555606.

It is not an unprimeable number, because it can be changed into a prime (3408555643) 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, 508543 + ... + 515201.

It is an arithmetic number, because the mean of its divisors is an integer number (74725200).

Almost surely, 2^3408555648 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 3408555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782412800).

3408555648 is an abundant number, since it is smaller than the sum of its proper divisors (6156269952).

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

3408555648 is a wasteful number, since it uses less digits than its factorization.

3408555648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6750 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The square root of 3408555648 is about 58382.8369300431. The cubic root of 3408555648 is about 1504.9548222477.

The spelling of 3408555648 in words is "three billion, four hundred eight million, five hundred fifty-five thousand, six hundred forty-eight".