3398990013225 has 81 divisors (see below), whose sum is σ = 6161603203119. Its totient is φ = 1791128275200.

The previous prime is 3398990013217. The next prime is 3398990013271. The reversal of 3398990013225 is 5223100998933.

It is a happy number.

The square root of 3398990013225 is 1843635.

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

3398990013225 is a `hidden beast` number, since 339 + 89 + 9 + 0 + 0 + 1 + 3 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3163912430121 + 235077583104 = 1778739^2 + 484848^2 .

It is not a de Polignac number, because 3398990013225 - 2³ = 3398990013217 is a prime.

It is a super-2 number, since 2×3398990013225² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2461252035 + ... + 2461253415.

Almost surely, 2^{3398990013225} is an apocalyptic number.

3398990013225 is the 1843635-th square number.

3398990013225 is the 921818-th centered octagonal number.

It is an amenable number.

3398990013225 is a deficient number, since it is larger than the sum of its proper divisors (2762613189894).

3398990013225 is an frugal number, since it uses more digits than its factorization.

3398990013225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 3398990013225 in words is "three trillion, three hundred ninety-eight billion, nine hundred ninety million, thirteen thousand, two hundred twenty-five".