3957288546750 has 768 divisors, whose sum is σ = 13386315571200. Its totient is φ = 768257280000.

The previous prime is 3957288546737. The next prime is 3957288546751. The reversal of 3957288546750 is 576458827593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957288546751) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 363415306 + ... + 363426194.

It is an arithmetic number, because the mean of its divisors is an integer number (17430098400).

Almost surely, 2^{3957288546750} is an apocalyptic number.

3957288546750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3957288546750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693157785600).

3957288546750 is an abundant number, since it is smaller than the sum of its proper divisors (9429027024450).

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

3957288546750 is a wasteful number, since it uses less digits than its factorization.

3957288546750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10994 (or 10977 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 69.

The spelling of 3957288546750 in words is "three trillion, nine hundred fifty-seven billion, two hundred eighty-eight million, five hundred forty-six thousand, seven hundred fifty".