3509829890116 has 243 divisors, whose sum is σ = 7258773340413. Its totient is φ = 1483775568000.

The previous prime is 3509829890113. The next prime is 3509829890173. The reversal of 3509829890116 is 6110989289053.

The square root of 3509829890116 is 1873454.

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., 169123272516 + 3340706617600 = 411246^2 + 1827760^2 .

It is not an unprimeable number, because it can be changed into a prime (3509829890113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 52385520715 + ... + 52385520781.

Almost surely, 2^{3509829890116} is an apocalyptic number.

3509829890116 is the 1873454-th square number.

It is an amenable number.

3509829890116 is an abundant number, since it is smaller than the sum of its proper divisors (3748943450297).

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

3509829890116 is a wasteful number, since it uses less digits than its factorization.

3509829890116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 61.

The spelling of 3509829890116 in words is "three trillion, five hundred nine billion, eight hundred twenty-nine million, eight hundred ninety thousand, one hundred sixteen".