3795335973 has 48 divisors (see below), whose sum is σ = 6655830720. Its totient is φ = 2123241120.

The previous prime is 3795335911. The next prime is 3795335993.

3795335973 is a `hidden beast` number, since 37 + 9 + 533 + 5 + 9 + 73 = 666.

3795335973 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3795335973 - 2¹⁷ = 3795204901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795335993) 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, 2211 + ... + 87152.

It is an arithmetic number, because the mean of its divisors is an integer number (138663140).

Almost surely, 2^3795335973 is an apocalyptic number.

3795335973 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3795335973 is a deficient number, since it is larger than the sum of its proper divisors (2860494747).

3795335973 is a wasteful number, since it uses less digits than its factorization.

3795335973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89407 (or 89390 counting only the distinct ones).

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

The square root of 3795335973 is about 61606.2981601719. The cubic root of 3795335973 is about 1559.8520532772.

The spelling of 3795335973 in words is "three billion, seven hundred ninety-five million, three hundred thirty-five thousand, nine hundred seventy-three".