3413211334221 has 64 divisors (see below), whose sum is σ = 4954980925440. Its totient is φ = 2077454649600.

The previous prime is 3413211334121. The next prime is 3413211334279. The reversal of 3413211334221 is 1224331123143.

It is not a de Polignac number, because 3413211334221 - 2¹⁴ = 3413211317837 is a prime.

It is a super-2 number, since 2×3413211334221² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413211334021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2189358640 + ... + 2189360198.

It is an arithmetic number, because the mean of its divisors is an integer number (77421576960).

Almost surely, 2^{3413211334221} is an apocalyptic number.

It is an amenable number.

3413211334221 is a deficient number, since it is larger than the sum of its proper divisors (1541769591219).

3413211334221 is a wasteful number, since it uses less digits than its factorization.

3413211334221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106.

The product of its digits is 10368, while the sum is 30.

Adding to 3413211334221 its reverse (1224331123143), we get a palindrome (4637542457364).

The spelling of 3413211334221 in words is "three trillion, four hundred thirteen billion, two hundred eleven million, three hundred thirty-four thousand, two hundred twenty-one".