3978160720 has 40 divisors (see below), whose sum is σ = 9736028640. Its totient is φ = 1507512960.

The previous prime is 3978160651. The next prime is 3978160729. The reversal of 3978160720 is 270618793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3978160729) 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 7 ways as a sum of consecutive naturals, for example, 1307086 + ... + 1310125.

It is an arithmetic number, because the mean of its divisors is an integer number (243400716).

Almost surely, 2^3978160720 is an apocalyptic number.

It is an amenable number.

3978160720 is an abundant number, since it is smaller than the sum of its proper divisors (5757867920).

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

3978160720 is a wasteful number, since it uses less digits than its factorization.

3978160720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617243 (or 2617237 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 3978160720 is about 63072.6622238193. The cubic root of 3978160720 is about 1584.5068035308.

The spelling of 3978160720 in words is "three billion, nine hundred seventy-eight million, one hundred sixty thousand, seven hundred twenty".