3005948973 has 8 divisors (see below), whose sum is σ = 4058665600. Its totient is φ = 1978599168.

The previous prime is 3005948951. The next prime is 3005949019. The reversal of 3005948973 is 3798495003.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3005948973 - 2¹⁰ = 3005947949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005948273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6341428 + ... + 6341901.

It is an arithmetic number, because the mean of its divisors is an integer number (507333200).

Almost surely, 2^3005948973 is an apocalyptic number.

It is an amenable number.

3005948973 is a deficient number, since it is larger than the sum of its proper divisors (1052716627).

3005948973 is a wasteful number, since it uses less digits than its factorization.

3005948973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12683411.

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 3005948973 is about 54826.5352999804. The cubic root of 3005948973 is about 1443.2022634965.

The spelling of 3005948973 in words is "three billion, five million, nine hundred forty-eight thousand, nine hundred seventy-three".