3345272 has 64 divisors (see below), whose sum is σ = 7741440. Its totient is φ = 1324800.

The previous prime is 3345263. The next prime is 3345317. The reversal of 3345272 is 2725433.

3345272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3345272² = 22381689507968, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3¹² + 3¹² + 4⁸ + 5 + 2¹¹ + 7⁶ + 2²¹ .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71153 + ... + 71199.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^3345272 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 3345272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720).

3345272 is an abundant number, since it is smaller than the sum of its proper divisors (4396168).

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

3345272 is a wasteful number, since it uses less digits than its factorization.

3345272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its digits is 5040, while the sum is 26.

The square root of 3345272 is about 1829.0084745566. The cubic root of 3345272 is about 149.5582857186.

The spelling of 3345272 in words is "three million, three hundred forty-five thousand, two hundred seventy-two".