3348672 has 56 divisors (see below), whose sum is σ = 8997696. Its totient is φ = 1099008.

The previous prime is 3348661. The next prime is 3348673. The reversal of 3348672 is 2768433.

It is a super-2 number, since 2×3348672² = 22427208327168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3348673) 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, 20463 + ... + 20625.

Almost surely, 2^3348672 is an apocalyptic number.

3348672 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 3348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498848).

3348672 is an abundant number, since it is smaller than the sum of its proper divisors (5649024).

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

3348672 is a wasteful number, since it uses less digits than its factorization.

3348672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 3348672 is about 1829.9377038577. The cubic root of 3348672 is about 149.6089369059.

The spelling of 3348672 in words is "three million, three hundred forty-eight thousand, six hundred seventy-two".