3344121100320 has 768 divisors, whose sum is σ = 14525862285312. Its totient is φ = 624090562560.

The previous prime is 3344121100279. The next prime is 3344121100337. The reversal of 3344121100320 is 230011214433.

It is a happy number.

It is a super-2 number, since 2×3344121100320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17683707 + ... + 17871813.

It is an arithmetic number, because the mean of its divisors is an integer number (18913883184).

Almost surely, 2^{3344121100320} is an apocalyptic number.

3344121100320 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 3344121100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262931142656).

3344121100320 is an abundant number, since it is smaller than the sum of its proper divisors (11181741184992).

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

3344121100320 is a wasteful number, since it uses less digits than its factorization.

3344121100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188193 (or 188185 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3344121100320 its reverse (230011214433), we get a palindrome (3574132314753).

The spelling of 3344121100320 in words is "three trillion, three hundred forty-four billion, one hundred twenty-one million, one hundred thousand, three hundred twenty".