3947958140580 has 144 divisors (see below), whose sum is σ = 12083426475120. Its totient is φ = 1043301482496.

The previous prime is 3947958140563. The next prime is 3947958140587. The reversal of 3947958140580 is 850418597493.

3947958140580 is a `hidden beast` number, since 3 + 9 + 4 + 7 + 9 + 5 + 8 + 1 + 40 + 580 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 144685901376 + 3803272239204 = 380376^2 + 1950198^2 .

It is not an unprimeable number, because it can be changed into a prime (3947958140587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168179724 + ... + 168203196.

It is an arithmetic number, because the mean of its divisors is an integer number (83912683855).

Almost surely, 2^{3947958140580} is an apocalyptic number.

3947958140580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3947958140580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041713237560).

3947958140580 is an abundant number, since it is smaller than the sum of its proper divisors (8135468334540).

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

3947958140580 is a wasteful number, since it uses less digits than its factorization.

3947958140580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31870 (or 31865 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 3947958140580 in words is "three trillion, nine hundred forty-seven billion, nine hundred fifty-eight million, one hundred forty thousand, five hundred eighty".