3444606816 has 96 divisors (see below), whose sum is σ = 10408446720. Its totient is φ = 977066496.

The previous prime is 3444606811. The next prime is 3444606817. The reversal of 3444606816 is 6186064443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3444606816² = 23730632233667315712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444606811) 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 15 ways as a sum of consecutive naturals, for example, 74970 + ... + 111846.

It is an arithmetic number, because the mean of its divisors is an integer number (108421320).

Almost surely, 2^3444606816 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 3444606816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5204223360).

3444606816 is an abundant number, since it is smaller than the sum of its proper divisors (6963839904).

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

3444606816 is a wasteful number, since it uses less digits than its factorization.

3444606816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37036 (or 37028 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 3444606816 is about 58690.7728352592. The cubic root of 3444606816 is about 1510.2420289501.

The spelling of 3444606816 in words is "three billion, four hundred forty-four million, six hundred six thousand, eight hundred sixteen".