3405321 has 20 divisors (see below), whose sum is σ = 5388372. Its totient is φ = 2135808.

The previous prime is 3405301. The next prime is 3405359. The reversal of 3405321 is 1235043.

3405321 is a `hidden beast` number, since 340 + 5 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2595321 + 810000 = 1611^2 + 900^2 .

It is not a de Polignac number, because 3405321 - 2⁵ = 3405289 is a prime.

It is a super-2 number, since 2×3405321² = 23192422226082, which contains 22 as substring.

3405321 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3405294 and 3405303.

It is not an unprimeable number, because it can be changed into a prime (3405301) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141 + ... + 2613.

Almost surely, 2^3405321 is an apocalyptic number.

It is an amenable number.

3405321 is a deficient number, since it is larger than the sum of its proper divisors (1983051).

3405321 is a wasteful number, since it uses less digits than its factorization.

3405321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3405321 is about 1845.3511860890. The cubic root of 3405321 is about 150.4478614698.

The spelling of 3405321 in words is "three million, four hundred five thousand, three hundred twenty-one".