3908135375640 has 192 divisors, whose sum is σ = 13391140089600. Its totient is φ = 985752633600.

The previous prime is 3908135375629. The next prime is 3908135375657. The reversal of 3908135375640 is 465735318093.

3908135375640 is a `hidden beast` number, since 3 + 9 + 0 + 8 + 13 + 537 + 56 + 40 = 666.

3908135375640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3908135375640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3863295 + ... + 4768785.

It is an arithmetic number, because the mean of its divisors is an integer number (69745521300).

Almost surely, 2^{3908135375640} is an apocalyptic number.

3908135375640 is a gapful number since it is divisible by the number (30) 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 3908135375640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695570044800).

3908135375640 is an abundant number, since it is smaller than the sum of its proper divisors (9483004713960).

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

3908135375640 is a wasteful number, since it uses less digits than its factorization.

3908135375640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906158 (or 906151 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3908135375640 in words is "three trillion, nine hundred eight billion, one hundred thirty-five million, three hundred seventy-five thousand, six hundred forty".