3344730400 has 216 divisors, whose sum is σ = 9086020020. Its totient is φ = 1201305600.

The previous prime is 3344730397. The next prime is 3344730401. The reversal of 3344730400 is 40374433.

3344730400 = T₃₂₁ + T₃₂₂ + ... + T₂₇₁₈.

It can be written as a sum of positive squares in 6 ways, for example, as 690007824 + 2654722576 = 26268^2 + 51524^2 .

It is a super-2 number, since 2×3344730400² = 22374442897368320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3344730401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10551042 + ... + 10551358.

Almost surely, 2^3344730400 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 3344730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543010010).

3344730400 is an abundant number, since it is smaller than the sum of its proper divisors (5741289620).

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

3344730400 is a wasteful number, since it uses less digits than its factorization.

3344730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 3344730400 is about 57833.6441874451. The cubic root of 3344730400 is about 1495.5021411393.

The spelling of 3344730400 in words is "three billion, three hundred forty-four million, seven hundred thirty thousand, four hundred".