3413907 has 32 divisors (see below), whose sum is σ = 5877760. Its totient is φ = 1942056.

The previous prime is 3413897. The next prime is 3413911. The reversal of 3413907 is 7093143.

3413907 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 3413907 - 2⁷ = 3413779 is a prime.

It is a super-2 number, since 2×3413907² = 23309522009298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

3413907 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (3413507) 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 31 ways as a sum of consecutive naturals, for example, 15198 + ... + 15420.

It is an arithmetic number, because the mean of its divisors is an integer number (183680).

Almost surely, 2^3413907 is an apocalyptic number.

3413907 is a deficient number, since it is larger than the sum of its proper divisors (2463853).

3413907 is an frugal number, since it uses more digits than its factorization.

3413907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3413907 is about 1847.6761079800. The cubic root of 3413907 is about 150.5741991641.

The spelling of 3413907 in words is "three million, four hundred thirteen thousand, nine hundred seven".