3340400 has 60 divisors (see below), whose sum is σ = 9179472. Its totient is φ = 1144320.

The previous prime is 3340391. The next prime is 3340411. The reversal of 3340400 is 40433.

3340400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3340400² = 22316544320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

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, 2204 + ... + 3396.

Almost surely, 2^3340400 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 3340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589736).

3340400 is an abundant number, since it is smaller than the sum of its proper divisors (5839072).

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

3340400 is a wasteful number, since it uses less digits than its factorization.

3340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3340400 is about 1827.6761201044. The cubic root of 3340400 is about 149.4856456877.

Adding to 3340400 its reverse (40433), we get a palindrome (3380833).

The spelling of 3340400 in words is "three million, three hundred forty thousand, four hundred".