3957870034944 has 756 divisors, whose sum is σ = 13836717085464. Its totient is φ = 1127252754432.

The previous prime is 3957870034931. The next prime is 3957870034949. The reversal of 3957870034944 is 4494300787593.

3957870034944 is a `hidden beast` number, since 3 + 9 + 5 + 78 + 70 + 0 + 3 + 494 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957870034949) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12485394274 + ... + 12485394590.

Almost surely, 2^{3957870034944} 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 3957870034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918358542732).

3957870034944 is an abundant number, since it is smaller than the sum of its proper divisors (9878847050520).

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

3957870034944 is an frugal number, since it uses more digits than its factorization.

3957870034944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3957870034944 in words is "three trillion, nine hundred fifty-seven billion, eight hundred seventy million, thirty-four thousand, nine hundred forty-four".