3244955834016 has 1152 divisors, whose sum is σ = 10873510502400. Its totient is φ = 945601413120.

The previous prime is 3244955833979. The next prime is 3244955834017. The reversal of 3244955834016 is 6104385594423.

It is a happy number.

3244955834016 is a `hidden beast` number, since 3 + 2 + 4 + 4 + 9 + 5 + 583 + 40 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3244955834017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33453152880 + ... + 33453152976.

It is an arithmetic number, because the mean of its divisors is an integer number (9438811200).

Almost surely, 2^{3244955834016} is an apocalyptic number.

3244955834016 is a gapful number since it is divisible by the number (36) 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 3244955834016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436755251200).

3244955834016 is an abundant number, since it is smaller than the sum of its proper divisors (7628554668384).

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

3244955834016 is a wasteful number, since it uses less digits than its factorization.

3244955834016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3244955834016 in words is "three trillion, two hundred forty-four billion, nine hundred fifty-five million, eight hundred thirty-four thousand, sixteen".