3349028101225 has 81 divisors (see below), whose sum is σ = 4349604490959. Its totient is φ = 2557949721600.

The previous prime is 3349028101213. The next prime is 3349028101231. The reversal of 3349028101225 is 5221018209433.

The square root of 3349028101225 is 1830035.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2365114879449 + 983913221776 = 1537893^2 + 991924^2 .

It is not a de Polignac number, because 3349028101225 - 2¹⁵ = 3349028068457 is a prime.

It is a super-2 number, since 2×3349028101225² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 29637416769 + ... + 29637416881.

Almost surely, 2^{3349028101225} is an apocalyptic number.

3349028101225 is the 1830035-th square number.

3349028101225 is the 915018-th centered octagonal number.

It is an amenable number.

3349028101225 is a deficient number, since it is larger than the sum of its proper divisors (1000576389734).

3349028101225 is an frugal number, since it uses more digits than its factorization.

3349028101225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 3349028101225 in words is "three trillion, three hundred forty-nine billion, twenty-eight million, one hundred one thousand, two hundred twenty-five".