3402800 has 60 divisors (see below), whose sum is σ = 8395296. Its totient is φ = 1324800.

The previous prime is 3402799. The next prime is 3402803. The reversal of 3402800 is 82043.

3402800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3402803) 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, 18710 + ... + 18890.

Almost surely, 2^3402800 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 3402800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197648).

3402800 is an abundant number, since it is smaller than the sum of its proper divisors (4992496).

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

3402800 is a wasteful number, since it uses less digits than its factorization.

3402800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3402800 is about 1844.6679918077. The cubic root of 3402800 is about 150.4107261854.

Adding to 3402800 its reverse (82043), we get a palindrome (3484843).

The spelling of 3402800 in words is "three million, four hundred two thousand, eight hundred".