3834400 has 36 divisors (see below), whose sum is σ = 9362682. Its totient is φ = 1533440.

The previous prime is 3834377. The next prime is 3834407. The reversal of 3834400 is 44383.

It can be written as a sum of positive squares in 3 ways, for example, as 3429904 + 404496 = 1852^2 + 636^2 .

It is not an unprimeable number, because it can be changed into a prime (3834407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1597 + ... + 3196.

Almost surely, 2^3834400 is an apocalyptic number.

It is an amenable number.

3834400 is an abundant number, since it is smaller than the sum of its proper divisors (5528282).

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

3834400 is a wasteful number, since it uses less digits than its factorization.

3834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3834400 is about 1958.1624038879. The cubic root of 3834400 is about 156.5185461864.

Adding to 3834400 its reverse (44383), we get a palindrome (3878783).

The spelling of 3834400 in words is "three million, eight hundred thirty-four thousand, four hundred".