3957895800320 has 480 divisors, whose sum is σ = 12676456869120. Its totient is φ = 1168694231040.

The previous prime is 3957895800251. The next prime is 3957895800329. The reversal of 3957895800320 is 230085987593.

It is a self number, because there is not a number n which added to its sum of digits gives 3957895800320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957895800329) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26141477 + ... + 26292443.

It is an arithmetic number, because the mean of its divisors is an integer number (26409285144).

Almost surely, 2^{3957895800320} 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 3957895800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338228434560).

3957895800320 is an abundant number, since it is smaller than the sum of its proper divisors (8718561068800).

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

3957895800320 is a wasteful number, since it uses less digits than its factorization.

3957895800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151034 (or 151011 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 59.

The spelling of 3957895800320 in words is "three trillion, nine hundred fifty-seven billion, eight hundred ninety-five million, eight hundred thousand, three hundred twenty".