3909800 has 48 divisors (see below), whose sum is σ = 9223740. Its totient is φ = 1541120.

The previous prime is 3909799. The next prime is 3909803. The reversal of 3909800 is 89093.

3909800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1094116 + 2815684 = 1046^2 + 1678^2 .

It is not an unprimeable number, because it can be changed into a prime (3909803) 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, 22514 + ... + 22686.

Almost surely, 2^3909800 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 3909800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611870).

3909800 is an abundant number, since it is smaller than the sum of its proper divisors (5313940).

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

3909800 is a wasteful number, since it uses less digits than its factorization.

3909800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 3909800 is about 1977.3214205081. The cubic root of 3909800 is about 157.5378258019.

The spelling of 3909800 in words is "three million, nine hundred nine thousand, eight hundred".