3384400 has 30 divisors (see below), whose sum is σ = 8131982. Its totient is φ = 1353600.

The previous prime is 3384389. The next prime is 3384431. The reversal of 3384400 is 44833.

It can be written as a sum of positive squares in 3 ways, for example, as 602176 + 2782224 = 776^2 + 1668^2 .

It is a super-2 number, since 2×3384400² = 22908326720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3831 + ... + 4630.

Almost surely, 2^3384400 is an apocalyptic number.

It is an amenable number.

3384400 is an abundant number, since it is smaller than the sum of its proper divisors (4747582).

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

3384400 is a wasteful number, since it uses less digits than its factorization.

3384400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8479 (or 8468 counting only the distinct ones).

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

The square root of 3384400 is about 1839.6738841436. The cubic root of 3384400 is about 150.1391301713.

The spelling of 3384400 in words is "three million, three hundred eighty-four thousand, four hundred".