3905541101696 has 128 divisors (see below), whose sum is σ = 8474392886400. Its totient is φ = 1782120112128.

The previous prime is 3905541101677. The next prime is 3905541101741. The reversal of 3905541101696 is 6961011455093.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89536340 + ... + 89579948.

It is an arithmetic number, because the mean of its divisors is an integer number (66206194425).

Almost surely, 2^{3905541101696} 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 3905541101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237196443200).

3905541101696 is an abundant number, since it is smaller than the sum of its proper divisors (4568851784704).

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

3905541101696 is a wasteful number, since it uses less digits than its factorization.

3905541101696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44246 (or 44234 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 50.

The spelling of 3905541101696 in words is "three trillion, nine hundred five billion, five hundred forty-one million, one hundred one thousand, six hundred ninety-six".