8349952 has 54 divisors (see below), whose sum is σ = 18141522. Its totient is φ = 3833856.

The previous prime is 8349931. The next prime is 8349953. The reversal of 8349952 is 2599438.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 147456 + 8202496 = 384^2 + 2864^2 .

It is a super-4 number, since 4×8349952⁴ (a number of 29 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (8349953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43168 + ... + 43360.

Almost surely, 2^8349952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9070761).

8349952 is an abundant number, since it is smaller than the sum of its proper divisors (9791570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8349952 is a wasteful number, since it uses less digits than its factorization.

8349952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its digits is 77760, while the sum is 40.

The square root of 8349952 is about 2889.6283498056. The cubic root of 8349952 is about 202.8747478132.

The spelling of 8349952 in words is "eight million, three hundred forty-nine thousand, nine hundred fifty-two".