3347328 has 64 divisors (see below), whose sum is σ = 9302400. Its totient is φ = 1064448.

The previous prime is 3347327. The next prime is 3347329. The reversal of 3347328 is 8237433.

It is an interprime number because it is at equal distance from previous prime (3347327) and next prime (3347329).

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

It is a super-2 number, since 2×3347328² = 22409209479168, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁴ + 3¹¹ + 4¹⁰ + 7⁴ + 3¹³ + 2¹⁹ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 3347295 and 3347304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3347327) 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, 8643 + ... + 9021.

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

Almost surely, 2^3347328 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 3347328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651200).

3347328 is an abundant number, since it is smaller than the sum of its proper divisors (5955072).

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

3347328 is a wasteful number, since it uses less digits than its factorization.

3347328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 3347328 is about 1829.5704413878. The cubic root of 3347328 is about 149.5889188891.

The spelling of 3347328 in words is "three million, three hundred forty-seven thousand, three hundred twenty-eight".