3396400 has 60 divisors (see below), whose sum is σ = 9333232. Its totient is φ = 1163520.

The previous prime is 3396397. The next prime is 3396401. The reversal of 3396400 is 46933.

3396400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3396401) 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, 2194 + ... + 3406.

Almost surely, 2^3396400 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 3396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666616).

3396400 is an abundant number, since it is smaller than the sum of its proper divisors (5936832).

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

3396400 is a wasteful number, since it uses less digits than its factorization.

3396400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 3396400 is about 1842.9324458590. The cubic root of 3396400 is about 150.3163693043.

The spelling of 3396400 in words is "three million, three hundred ninety-six thousand, four hundred".