3385522720441 has 27 divisors (see below), whose sum is σ = 3609197790861. Its totient is φ = 3175244400384.

The previous prime is 3385522720427. The next prime is 3385522720493. The reversal of 3385522720441 is 1440272255833.

It is a happy number.

The square root of 3385522720441 is 1839979.

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

It can be written as a sum of positive squares in 4 ways, for example, as 66858962041 + 3318663758400 = 258571^2 + 1821720^2 .

It is not a de Polignac number, because 3385522720441 - 2²⁹ = 3384985849529 is a prime.

It is a super-2 number, since 2×3385522720441² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3385522720391 and 3385522720400.

It is not an unprimeable number, because it can be changed into a prime (3385522720141) 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 26 ways as a sum of consecutive naturals, for example, 3950434485 + ... + 3950435341.

Almost surely, 2^{3385522720441} is an apocalyptic number.

3385522720441 is the 1839979-th square number.

3385522720441 is the 919990-th centered octagonal number.

It is an amenable number.

3385522720441 is a deficient number, since it is larger than the sum of its proper divisors (223675070420).

3385522720441 is an frugal number, since it uses more digits than its factorization.

3385522720441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 3385522720441 in words is "three trillion, three hundred eighty-five billion, five hundred twenty-two million, seven hundred twenty thousand, four hundred forty-one".