3946509 has 48 divisors (see below), whose sum is σ = 7204800. Its totient is φ = 2122848.

The previous prime is 3946507. The next prime is 3946511. The reversal of 3946509 is 9056493.

It is an interprime number because it is at equal distance from previous prime (3946507) and next prime (3946511).

It is not a de Polignac number, because 3946509 - 2¹ = 3946507 is a prime.

It is a Curzon number.

3946509 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25059 + ... + 25215.

It is an arithmetic number, because the mean of its divisors is an integer number (150100).

Almost surely, 2^3946509 is an apocalyptic number.

It is an amenable number.

3946509 is a deficient number, since it is larger than the sum of its proper divisors (3258291).

3946509 is a wasteful number, since it uses less digits than its factorization.

3946509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3946509 is about 1986.5822409354. The cubic root of 3946509 is about 158.0293301316.

It can be divided in two parts, 394 and 6509, that added together give a triangular number (6903 = T₁₁₇).

The spelling of 3946509 in words is "three million, nine hundred forty-six thousand, five hundred nine".