3362205 has 64 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 1344000.

The previous prime is 3362159. The next prime is 3362207. The reversal of 3362205 is 5022633.

It is not a de Polignac number, because 3362205 - 2⁷ = 3362077 is a prime.

It is a super-2 number, since 2×3362205² = 22608844924050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47320 + ... + 47390.

It is an arithmetic number, because the mean of its divisors is an integer number (108864).

Almost surely, 2^3362205 is an apocalyptic number.

3362205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3362205 is an abundant number, since it is smaller than the sum of its proper divisors (3605091).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3362205 is a wasteful number, since it uses less digits than its factorization.

3362205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3362205 is about 1833.6316423971. The cubic root of 3362205 is about 149.8102043966.

Adding to 3362205 its reverse (5022633), we get a palindrome (8384838).

The spelling of 3362205 in words is "three million, three hundred sixty-two thousand, two hundred five".