3395712 has 64 divisors (see below), whose sum is σ = 9302400. Its totient is φ = 1096704.

The previous prime is 3395701. The next prime is 3395713. The reversal of 3395712 is 2175933.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3395712.

It is not an unprimeable number, because it can be changed into a prime (3395713) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14089 + ... + 14327.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

Almost surely, 2^3395712 is an apocalyptic number.

3395712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651200).

3395712 is an abundant number, since it is smaller than the sum of its proper divisors (5906688).

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

3395712 is a wasteful number, since it uses less digits than its factorization.

3395712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 281 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 3395712 is about 1842.7457773659. The cubic root of 3395712 is about 150.3062188857.

The spelling of 3395712 in words is "three million, three hundred ninety-five thousand, seven hundred twelve".