3483210064896 has 99 divisors (see below), whose sum is σ = 10058210842953. Its totient is φ = 1161010298880.

The previous prime is 3483210064819. The next prime is 3483210064909. The reversal of 3483210064896 is 6984600123843.

The square root of 3483210064896 is 1866336.

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

3483210064896 is a `hidden beast` number, since 3 + 483 + 2 + 10 + 0 + 64 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 807237559296 + 2675972505600 = 898464^2 + 1635840^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 179158536 + ... + 179177976.

Almost surely, 2^{3483210064896} is an apocalyptic number.

3483210064896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3483210064896 is the 1866336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483210064896

3483210064896 is an abundant number, since it is smaller than the sum of its proper divisors (6575000778057).

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

3483210064896 is an frugal number, since it uses more digits than its factorization.

3483210064896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38908 (or 19446 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3483210064896 in words is "three trillion, four hundred eighty-three billion, two hundred ten million, sixty-four thousand, eight hundred ninety-six".