3908435908608 has 1920 divisors, whose sum is σ = 15822859852800. Its totient is φ = 930034483200.

The previous prime is 3908435908547. The next prime is 3908435908613. The reversal of 3908435908608 is 8068095348093.

3908435908608 is a `hidden beast` number, since 39 + 0 + 8 + 4 + 3 + 590 + 8 + 6 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8903042853 + ... + 8903043291.

It is an arithmetic number, because the mean of its divisors is an integer number (8241072840).

Almost surely, 2^{3908435908608} 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 3908435908608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911429926400).

3908435908608 is an abundant number, since it is smaller than the sum of its proper divisors (11914423944192).

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

3908435908608 is a wasteful number, since it uses less digits than its factorization.

3908435908608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 3908435908608 in words is "three trillion, nine hundred eight billion, four hundred thirty-five million, nine hundred eight thousand, six hundred eight".