3908505040064 has 112 divisors (see below), whose sum is σ = 8242609351680. Its totient is φ = 1835891205120.

The previous prime is 3908505040057. The next prime is 3908505040067. The reversal of 3908505040064 is 4600405058093.

It is a junction number, because it is equal to n+sod(n) for n = 3908505039997 and 3908505040024.

It is not an unprimeable number, because it can be changed into a prime (3908505040067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13765322 + ... + 14046390.

Almost surely, 2^{3908505040064} 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 3908505040064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121304675840).

3908505040064 is an abundant number, since it is smaller than the sum of its proper divisors (4334104311616).

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

3908505040064 is a wasteful number, since it uses less digits than its factorization.

3908505040064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281318 (or 281308 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 3908505040064 in words is "three trillion, nine hundred eight billion, five hundred five million, forty thousand, sixty-four".