3908381378328 has 512 divisors, whose sum is σ = 13181756160000. Its totient is φ = 1071561415680.

The previous prime is 3908381378233. The next prime is 3908381378333. The reversal of 3908381378328 is 8238731838093.

3908381378328 is a `hidden beast` number, since 3 + 90 + 83 + 81 + 3 + 78 + 328 = 666.

It is a super-2 number, since 2×3908381378328² (a number of 26 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 200101923 + ... + 200121453.

It is an arithmetic number, because the mean of its divisors is an integer number (25745617500).

Almost surely, 2^{3908381378328} 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 3908381378328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590878080000).

3908381378328 is an abundant number, since it is smaller than the sum of its proper divisors (9273374781672).

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

3908381378328 is a wasteful number, since it uses less digits than its factorization.

3908381378328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19677 (or 19653 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 3908381378328 in words is "three trillion, nine hundred eight billion, three hundred eighty-one million, three hundred seventy-eight thousand, three hundred twenty-eight".