3908435328 has 384 divisors, whose sum is σ = 13811616000. Its totient is φ = 1076447232.

The previous prime is 3908435327. The next prime is 3908435351. The reversal of 3908435328 is 8235348093.

3908435328 is a `hidden beast` number, since 39 + 0 + 84 + 3 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3908435327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6313803 + ... + 6314421.

It is an arithmetic number, because the mean of its divisors is an integer number (35967750).

Almost surely, 2^3908435328 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 3908435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905808000).

3908435328 is an abundant number, since it is smaller than the sum of its proper divisors (9903180672).

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

3908435328 is an equidigital number, since it uses as much as digits as its factorization.

3908435328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3908435328 is about 62517.4801795466. The cubic root of 3908435328 is about 1575.1949472978.

The spelling of 3908435328 in words is "three billion, nine hundred eight million, four hundred thirty-five thousand, three hundred twenty-eight".