3344400 has 90 divisors (see below), whose sum is σ = 11618490. Its totient is φ = 890880.

The previous prime is 3344389. The next prime is 3344401. The reversal of 3344400 is 44433.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 3326976 = 132^2 + 1824^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×3344400² = 22370022720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (3344401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3136 + ... + 4064.

Almost surely, 2^3344400 is an apocalyptic number.

3344400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809245).

3344400 is an abundant number, since it is smaller than the sum of its proper divisors (8274090).

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

3344400 is a wasteful number, since it uses less digits than its factorization.

3344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3344400 is about 1828.7700784954. The cubic root of 3344400 is about 149.5452896495.

Adding to 3344400 its reverse (44433), we get a palindrome (3388833).

The spelling of 3344400 in words is "three million, three hundred forty-four thousand, four hundred".