3957545399808 has 2560 divisors, whose sum is σ = 16250799882240. Its totient is φ = 821129379840.

The previous prime is 3957545399681. The next prime is 3957545399839. The reversal of 3957545399808 is 8089935457593.

It is a self number, because there is not a number n which added to its sum of digits gives 3957545399808.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 17434120591 + ... + 17434120817.

It is an arithmetic number, because the mean of its divisors is an integer number (6347968704).

Almost surely, 2^{3957545399808} 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 3957545399808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125399941120).

3957545399808 is an abundant number, since it is smaller than the sum of its proper divisors (12293254482432).

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

3957545399808 is a wasteful number, since it uses less digits than its factorization.

3957545399808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1469664000, while the sum is 75.

The spelling of 3957545399808 in words is "three trillion, nine hundred fifty-seven billion, five hundred forty-five million, three hundred ninety-nine thousand, eight hundred eight".