3397905 has 72 divisors (see below), whose sum is σ = 7255872. Its totient is φ = 1463616.

The previous prime is 3397897. The next prime is 3397907. The reversal of 3397905 is 5097933.

3397905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3397905 - 2³ = 3397897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3397905.

It is not an unprimeable number, because it can be changed into a prime (3397907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50682 + ... + 50748.

It is an arithmetic number, because the mean of its divisors is an integer number (100776).

Almost surely, 2^3397905 is an apocalyptic number.

3397905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3397905 is an abundant number, since it is smaller than the sum of its proper divisors (3857967).

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

3397905 is a wasteful number, since it uses less digits than its factorization.

3397905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 3397905 is about 1843.3407172848. The cubic root of 3397905 is about 150.3385685672.

The spelling of 3397905 in words is "three million, three hundred ninety-seven thousand, nine hundred five".