3420411340221 has 12 divisors (see below), whose sum is σ = 4976656890972. Its totient is φ = 2263629888576.

The previous prime is 3420411340201. The next prime is 3420411340223. The reversal of 3420411340221 is 1220431140243.

3420411340221 is a `hidden beast` number, since 3 + 4 + 20 + 411 + 3 + 4 + 0 + 221 = 666.

3420411340221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 946038296025 + 2474373044196 = 972645^2 + 1573014^2 .

It is not a de Polignac number, because 3420411340221 - 2¹⁹ = 3420410815933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420411340223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1387026886 + ... + 1387029351.

It is an arithmetic number, because the mean of its divisors is an integer number (414721407581).

Almost surely, 2^{3420411340221} is an apocalyptic number.

It is an amenable number.

3420411340221 is a deficient number, since it is larger than the sum of its proper divisors (1556245550751).

3420411340221 is a wasteful number, since it uses less digits than its factorization.

3420411340221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774056380 (or 2774056377 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3420411340221 its reverse (1220431140243), we get a palindrome (4640842480464).

The spelling of 3420411340221 in words is "three trillion, four hundred twenty billion, four hundred eleven million, three hundred forty thousand, two hundred twenty-one".