34982067310096 has 135 divisors (see below), whose sum is σ = 70180435731693. Its totient is φ = 16891994784000.

The previous prime is 34982067310067. The next prime is 34982067310121. The reversal of 34982067310096 is 69001376028943.

It is a happy number.

The square root of 34982067310096 is 5914564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20548632963600 + 14433434346496 = 4533060^2 + 3799136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34982067310096.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 139370785971 + ... + 139370786221.

Almost surely, 2^{34982067310096} is an apocalyptic number.

34982067310096 is the 5914564-th square number.

It is an amenable number.

34982067310096 is an abundant number, since it is smaller than the sum of its proper divisors (35198368421597).

34982067310096 is an frugal number, since it uses more digits than its factorization.

34982067310096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 34982067310096 in words is "thirty-four trillion, nine hundred eighty-two billion, sixty-seven million, three hundred ten thousand, ninety-six".