3395964 has 48 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 949440.

The previous prime is 3395963. The next prime is 3395969. The reversal of 3395964 is 4695933.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395963) 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 15 ways as a sum of consecutive naturals, for example, 727 + ... + 2705.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 2^3395964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3395964 is an abundant number, since it is smaller than the sum of its proper divisors (5917956).

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

3395964 is a wasteful number, since it uses less digits than its factorization.

3395964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2008 counting only the distinct ones).

The product of its digits is 87480, while the sum is 39.

The square root of 3395964 is about 1842.8141523225. The cubic root of 3395964 is about 150.3099369307.

The spelling of 3395964 in words is "three million, three hundred ninety-five thousand, nine hundred sixty-four".