3977007793 has 12 divisors (see below), whose sum is σ = 4374570564. Its totient is φ = 3612857600.

The previous prime is 3977007739. The next prime is 3977007817.

It is a happy number.

3977007793 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2914704144 + 1062303649 = 53988^2 + 32593^2 .

It is not a de Polignac number, because 3977007793 - 2¹⁷ = 3976876721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3977007793.

It is not an unprimeable number, because it can be changed into a prime (3977007733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168105 + ... + 190297.

It is an arithmetic number, because the mean of its divisors is an integer number (364547547).

Almost surely, 2^3977007793 is an apocalyptic number.

It is an amenable number.

3977007793 is a deficient number, since it is larger than the sum of its proper divisors (397562771).

3977007793 is a wasteful number, since it uses less digits than its factorization.

3977007793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23696 (or 23685 counting only the distinct ones).

The product of its (nonzero) digits is 1750329, while the sum is 52.

The square root of 3977007793 is about 63063.5218886481. The cubic root of 3977007793 is about 1584.3537179458.

The spelling of 3977007793 in words is "three billion, nine hundred seventy-seven million, seven thousand, seven hundred ninety-three".