3975570189696 has 192 divisors, whose sum is σ = 12403477831680. Its totient is φ = 1124848714752.

The previous prime is 3975570189691. The next prime is 3975570189761. The reversal of 3975570189696 is 6969810755793.

3975570189696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3975570189691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 912385 + ... + 2963711.

It is an arithmetic number, because the mean of its divisors is an integer number (64601447040).

Almost surely, 2^{3975570189696} 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 3975570189696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201738915840).

3975570189696 is an abundant number, since it is smaller than the sum of its proper divisors (8427907641984).

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

3975570189696 is a wasteful number, since it uses less digits than its factorization.

3975570189696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051461 (or 2051442 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 75.

The spelling of 3975570189696 in words is "three trillion, nine hundred seventy-five billion, five hundred seventy million, one hundred eighty-nine thousand, six hundred ninety-six".