3346444590241 has 9 divisors (see below), whose sum is σ = 3402317129913. Its totient is φ = 3291475083120.

The previous prime is 3346444590211. The next prime is 3346444590299. The reversal of 3346444590241 is 1420954446433.

The square root of 3346444590241 is 1829329.

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 134893863841 + 3211550726400 = 367279^2 + 1792080^2 .

It is not a de Polignac number, because 3346444590241 - 2²⁷ = 3346310372513 is a prime.

It is a super-2 number, since 2×3346444590241² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3346444590211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111574075 + ... + 111604063.

It is an arithmetic number, because the mean of its divisors is an integer number (378035236657).

Almost surely, 2^{3346444590241} is an apocalyptic number.

3346444590241 is the 1829329-th square number.

3346444590241 is the 914665-th centered octagonal number.

It is an amenable number.

3346444590241 is a deficient number, since it is larger than the sum of its proper divisors (55872539672).

3346444590241 is an frugal number, since it uses more digits than its factorization.

3346444590241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60100 (or 30050 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

Multiplying 3346444590241 by its sum of digits (49), we get a square (163975784921809 = 12805303²).

The spelling of 3346444590241 in words is "three trillion, three hundred forty-six billion, four hundred forty-four million, five hundred ninety thousand, two hundred forty-one".