3975335793 has 48 divisors (see below), whose sum is σ = 6957103680. Its totient is φ = 2223936000.

The previous prime is 3975335789. The next prime is 3975335831.

3975335793 is a `hidden beast` number, since 39 + 7 + 5 + 33 + 579 + 3 = 666.

3975335793 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3975335793 - 2² = 3975335789 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3975335773) 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, 10593 + ... + 89793.

It is an arithmetic number, because the mean of its divisors is an integer number (144939660).

Almost surely, 2^3975335793 is an apocalyptic number.

3975335793 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3975335793 is a deficient number, since it is larger than the sum of its proper divisors (2981767887).

3975335793 is a wasteful number, since it uses less digits than its factorization.

3975335793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79247 (or 79228 counting only the distinct ones).

The product of its digits is 8037225, while the sum is 54.

The square root of 3975335793 is about 63050.2640200658. The cubic root of 3975335793 is about 1584.1316573017.

The spelling of 3975335793 in words is "three billion, nine hundred seventy-five million, three hundred thirty-five thousand, seven hundred ninety-three".