8008948349 has 8 divisors (see below), whose sum is σ = 8219630520. Its totient is φ = 7800472576.

The previous prime is 8008948313. The next prime is 8008948351. The reversal of 8008948349 is 9438498008.

It can be written as a sum of positive squares in 4 ways, for example, as 3621873124 + 4387075225 = 60182^2 + 66235^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 8008948349 - 2¹⁶ = 8008882813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

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 8008948349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008948309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 544244 + ... + 558765.

It is an arithmetic number, because the mean of its divisors is an integer number (1027453815).

Almost surely, 2^8008948349 is an apocalyptic number.

It is an amenable number.

8008948349 is a deficient number, since it is larger than the sum of its proper divisors (210682171).

8008948349 is a wasteful number, since it uses less digits than its factorization.

8008948349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103199.

The product of its (nonzero) digits is 1990656, while the sum is 53.

The square root of 8008948349 is about 89492.7279112666. The cubic root of 8008948349 is about 2000.7454178916.

The spelling of 8008948349 in words is "eight billion, eight million, nine hundred forty-eight thousand, three hundred forty-nine".