3444616120320 has 1152 divisors, whose sum is σ = 12885050505600. Its totient is φ = 848525524992.

The previous prime is 3444616120291. The next prime is 3444616120321. The reversal of 3444616120320 is 230216164443.

3444616120320 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 6 + 1 + 612 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3444616120321) 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 95 ways as a sum of consecutive naturals, for example, 19911075754 + ... + 19911075926.

It is an arithmetic number, because the mean of its divisors is an integer number (11184939675).

Almost surely, 2^{3444616120320} is an apocalyptic number.

3444616120320 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 3444616120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442525252800).

3444616120320 is an abundant number, since it is smaller than the sum of its proper divisors (9440434385280).

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

3444616120320 is a wasteful number, since it uses less digits than its factorization.

3444616120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 3444616120320 in words is "three trillion, four hundred forty-four billion, six hundred sixteen million, one hundred twenty thousand, three hundred twenty".