3481283880305 has 32 divisors (see below), whose sum is σ = 5223286252800. Its totient is φ = 2163932709120.

The previous prime is 3481283880299. The next prime is 3481283880311. The reversal of 3481283880305 is 5030883821843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3481283880299) and next prime (3481283880311).

It is not a de Polignac number, because 3481283880305 - 2¹⁴ = 3481283863921 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12820214 + ... + 13088943.

It is an arithmetic number, because the mean of its divisors is an integer number (163227695400).

Almost surely, 2^{3481283880305} is an apocalyptic number.

3481283880305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3481283880305 is a deficient number, since it is larger than the sum of its proper divisors (1742002372495).

3481283880305 is a wasteful number, since it uses less digits than its factorization.

3481283880305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25909529.

The product of its (nonzero) digits is 4423680, while the sum is 53.

The spelling of 3481283880305 in words is "three trillion, four hundred eighty-one billion, two hundred eighty-three million, eight hundred eighty thousand, three hundred five".