3348400 has 60 divisors (see below), whose sum is σ = 8787384. Its totient is φ = 1216000.

The previous prime is 3348391. The next prime is 3348407. The reversal of 3348400 is 48433.

3348400 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 2×3348400² = 22423565120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3348407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4020 + ... + 4780.

Almost surely, 2^3348400 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 3348400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393692).

3348400 is an abundant number, since it is smaller than the sum of its proper divisors (5438984).

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

3348400 is a wasteful number, since it uses less digits than its factorization.

3348400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3348400 is about 1829.8633828786. The cubic root of 3348400 is about 149.6048860730.

The spelling of 3348400 in words is "three million, three hundred forty-eight thousand, four hundred".