3444216465000 has 640 divisors, whose sum is σ = 11377465545600. Its totient is φ = 867310080000.

The previous prime is 3444216464999. The next prime is 3444216465007. The reversal of 3444216465000 is 5646124443.

It is a self number, because there is not a number n which added to its sum of digits gives 3444216465000.

It is not an unprimeable number, because it can be changed into a prime (3444216465007) 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 159 ways as a sum of consecutive naturals, for example, 7774754779 + ... + 7774755221.

It is an arithmetic number, because the mean of its divisors is an integer number (17777289915).

Almost surely, 2^{3444216465000} is an apocalyptic number.

3444216465000 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 3444216465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688732772800).

3444216465000 is an abundant number, since it is smaller than the sum of its proper divisors (7933249080600).

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

3444216465000 is a wasteful number, since it uses less digits than its factorization.

3444216465000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 3444216465000 in words is "three trillion, four hundred forty-four billion, two hundred sixteen million, four hundred sixty-five thousand".