3401800 has 48 divisors (see below), whose sum is σ = 8051940. Its totient is φ = 1336320.

The previous prime is 3401777. The next prime is 3401807. The reversal of 3401800 is 81043.

It can be written as a sum of positive squares in 6 ways, for example, as 835396 + 2566404 = 914^2 + 1602^2 .

It is not an unprimeable number, because it can be changed into a prime (3401807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14484 + ... + 14716.

Almost surely, 2^3401800 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 3401800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025970).

3401800 is an abundant number, since it is smaller than the sum of its proper divisors (4650140).

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

3401800 is a wasteful number, since it uses less digits than its factorization.

3401800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3401800 is about 1844.3969204051. The cubic root of 3401800 is about 150.3959907261.

Adding to 3401800 its reverse (81043), we get a palindrome (3482843).

The spelling of 3401800 in words is "three million, four hundred one thousand, eight hundred".