3395072 has 40 divisors (see below), whose sum is σ = 7161000. Its totient is φ = 1603584.

The previous prime is 3395071. The next prime is 3395081. The reversal of 3395072 is 2705933.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9554 + ... + 9902.

It is an arithmetic number, because the mean of its divisors is an integer number (179025).

Almost surely, 2^3395072 is an apocalyptic number.

3395072 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 3395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580500).

3395072 is an abundant number, since it is smaller than the sum of its proper divisors (3765928).

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

3395072 is an equidigital number, since it uses as much as digits as its factorization.

3395072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 29.

The square root of 3395072 is about 1842.5721152780. The cubic root of 3395072 is about 150.2967754048.

The spelling of 3395072 in words is "three million, three hundred ninety-five thousand, seventy-two".