7349801296 has 40 divisors (see below), whose sum is σ = 14807791080. Its totient is φ = 3529752576.

The previous prime is 7349801279. The next prime is 7349801311. The reversal of 7349801296 is 6921089437.

It can be written as a sum of positive squares in 4 ways, for example, as 67568400 + 7282232896 = 8220^2 + 85336^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48516 + ... + 130588.

It is an arithmetic number, because the mean of its divisors is an integer number (370194777).

Almost surely, 2^7349801296 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 7349801296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7403895540).

7349801296 is an abundant number, since it is smaller than the sum of its proper divisors (7457989784).

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

7349801296 is a wasteful number, since it uses less digits than its factorization.

7349801296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82303 (or 82297 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 7349801296 is about 85730.9821243172. The cubic root of 7349801296 is about 1944.2787637860.

The spelling of 7349801296 in words is "seven billion, three hundred forty-nine million, eight hundred one thousand, two hundred ninety-six".