3445581216 has 288 divisors, whose sum is σ = 12156080832. Its totient is φ = 842096640.

The previous prime is 3445581193. The next prime is 3445581283. The reversal of 3445581216 is 6121855443.

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 47 ways as a sum of consecutive naturals, for example, 877690 + ... + 881606.

It is an arithmetic number, because the mean of its divisors is an integer number (42208614).

Almost surely, 2^3445581216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3445581216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078040416).

3445581216 is an abundant number, since it is smaller than the sum of its proper divisors (8710499616).

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

3445581216 is a wasteful number, since it uses less digits than its factorization.

3445581216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3957 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 3445581216 is about 58699.0733828056. The cubic root of 3445581216 is about 1510.3844197632.

The spelling of 3445581216 in words is "three billion, four hundred forty-five million, five hundred eighty-one thousand, two hundred sixteen".