3400209 has 6 divisors (see below), whose sum is σ = 4911426. Its totient is φ = 2266800.

The previous prime is 3400207. The next prime is 3400211. The reversal of 3400209 is 9020043.

It is an interprime number because it is at equal distance from previous prime (3400207) and next prime (3400211).

It can be written as a sum of positive squares in only one way, i.e., 1782225 + 1617984 = 1335^2 + 1272^2 .

It is not a de Polignac number, because 3400209 - 2¹ = 3400207 is a prime.

It is a super-2 number, since 2×3400209² = 23122842487362, which contains 22 as substring.

It is a Curzon number.

3400209 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3400191 and 3400200.

It is not an unprimeable number, because it can be changed into a prime (3400207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188892 + ... + 188909.

It is an arithmetic number, because the mean of its divisors is an integer number (818571).

Almost surely, 2^3400209 is an apocalyptic number.

It is an amenable number.

3400209 is a deficient number, since it is larger than the sum of its proper divisors (1511217).

3400209 is a wasteful number, since it uses less digits than its factorization.

3400209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377807 (or 377804 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3400209 is about 1843.9655636698. The cubic root of 3400209 is about 150.3725406571.

The spelling of 3400209 in words is "three million, four hundred thousand, two hundred nine".