3344112000 has 256 divisors, whose sum is σ = 12319070400. Its totient is φ = 891648000.

The previous prime is 3344111989. The next prime is 3344112001. The reversal of 3344112000 is 2114433.

It is a super-2 number, since 2×3344112000² = 22366170137088000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344112001) 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 31 ways as a sum of consecutive naturals, for example, 428130 + ... + 435870.

Almost surely, 2^3344112000 is an apocalyptic number.

3344112000 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 3344112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159535200).

3344112000 is an abundant number, since it is smaller than the sum of its proper divisors (8974958400).

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

3344112000 is an equidigital number, since it uses as much as digits as its factorization.

3344112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7779 (or 7751 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3344112000 is about 57828.2975713448. The cubic root of 3344112000 is about 1495.4099687353.

Adding to 3344112000 its reverse (2114433), we get a palindrome (3346226433).

The spelling of 3344112000 in words is "three billion, three hundred forty-four million, one hundred twelve thousand".