3975091101696 has 1008 divisors, whose sum is σ = 13085975510496. Its totient is φ = 1065988915200.

The previous prime is 3975091101587. The next prime is 3975091101697. The reversal of 3975091101696 is 6961011905793.

It is not an unprimeable number, because it can be changed into a prime (3975091101697) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37150384075 + ... + 37150384181.

It is an arithmetic number, because the mean of its divisors is an integer number (12982118562).

Almost surely, 2^{3975091101696} 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 3975091101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542987755248).

3975091101696 is an abundant number, since it is smaller than the sum of its proper divisors (9110884408800).

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

3975091101696 is a wasteful number, since it uses less digits than its factorization.

3975091101696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 57.

The spelling of 3975091101696 in words is "three trillion, nine hundred seventy-five billion, ninety-one million, one hundred one thousand, six hundred ninety-six".