3348384 has 48 divisors (see below), whose sum is σ = 9469152. Its totient is φ = 1029888.

The previous prime is 3348377. The next prime is 3348391. The reversal of 3348384 is 4838433.

It is an interprime number because it is at equal distance from previous prime (3348377) and next prime (3348391).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3348384² = 22423350822912, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 2589.

It is an arithmetic number, because the mean of its divisors is an integer number (197274).

Almost surely, 2^3348384 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 3348384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734576).

3348384 is an abundant number, since it is smaller than the sum of its proper divisors (6120768).

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

3348384 is a wasteful number, since it uses less digits than its factorization.

3348384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2701 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 3348384 is about 1829.8590109623. The cubic root of 3348384 is about 149.6046477819.

The spelling of 3348384 in words is "three million, three hundred forty-eight thousand, three hundred eighty-four".