3948908396688 has 160 divisors (see below), whose sum is σ = 11437221304320. Its totient is φ = 1304459925120.

The previous prime is 3948908396687. The next prime is 3948908396701. The reversal of 3948908396688 is 8866938098493.

3948908396688 is a `hidden beast` number, since 3 + 94 + 89 + 0 + 8 + 396 + 68 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3948908396687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23796981 + ... + 23962347.

It is an arithmetic number, because the mean of its divisors is an integer number (71482633152).

Almost surely, 2^{3948908396688} 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 3948908396688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5718610652160).

3948908396688 is an abundant number, since it is smaller than the sum of its proper divisors (7488312907632).

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

3948908396688 is a wasteful number, since it uses less digits than its factorization.

3948908396688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165882 (or 165870 counting only the distinct ones).

The product of its (nonzero) digits is 3869835264, while the sum is 81.

The spelling of 3948908396688 in words is "three trillion, nine hundred forty-eight billion, nine hundred eight million, three hundred ninety-six thousand, six hundred eighty-eight".