3068400 has 60 divisors (see below), whose sum is σ = 9832952. Its totient is φ = 817920.

The previous prime is 3068393. The next prime is 3068419. The reversal of 3068400 is 48603.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79 + ... + 2478.

Almost surely, 2^3068400 is an apocalyptic number.

3068400 is a gapful number since it is divisible by the number (30) 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 3068400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916476).

3068400 is an abundant number, since it is smaller than the sum of its proper divisors (6764552).

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

3068400 is a wasteful number, since it uses less digits than its factorization.

3068400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3068400 is about 1751.6849031718. The cubic root of 3068400 is about 145.3128402119.

The spelling of 3068400 in words is "three million, sixty-eight thousand, four hundred".