3426800 has 60 divisors (see below), whose sum is σ = 8879640. Its totient is φ = 1263360.

The previous prime is 3426769. The next prime is 3426811. The reversal of 3426800 is 86243.

It is a happy number.

3426800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 4871 + ... + 5529.

It is an arithmetic number, because the mean of its divisors is an integer number (147994).

Almost surely, 2^3426800 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 3426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439820).

3426800 is an abundant number, since it is smaller than the sum of its proper divisors (5452840).

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

3426800 is a wasteful number, since it uses less digits than its factorization.

3426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3426800 is about 1851.1617973586. The cubic root of 3426800 is about 150.7635144513.

The spelling of 3426800 in words is "three million, four hundred twenty-six thousand, eight hundred".