3348352 has 64 divisors (see below), whose sum is σ = 7907040. Its totient is φ = 1382400.

The previous prime is 3348349. The next prime is 3348353. The reversal of 3348352 is 2538433.

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

It is a super-2 number, since 2×3348352² = 22422922231808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3348352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3348353) 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, 33102 + ... + 33202.

Almost surely, 2^3348352 is an apocalyptic number.

3348352 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 3348352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953520).

3348352 is an abundant number, since it is smaller than the sum of its proper divisors (4558688).

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

3348352 is a wasteful number, since it uses less digits than its factorization.

3348352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 147 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 3348352 is about 1829.8502670984. The cubic root of 3348352 is about 149.6041711973.

The spelling of 3348352 in words is "three million, three hundred forty-eight thousand, three hundred fifty-two".