3446630800 has 60 divisors (see below), whose sum is σ = 8307287620. Its totient is φ = 1374197760.

The previous prime is 3446630797. The next prime is 3446630807. The reversal of 3446630800 is 80366443.

It can be written as a sum of positive squares in 6 ways, for example, as 1006665984 + 2439964816 = 31728^2 + 49396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3446630807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 111436 + ... + 138964.

Almost surely, 2^3446630800 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 3446630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153643810).

3446630800 is an abundant number, since it is smaller than the sum of its proper divisors (4860656820).

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

3446630800 is a wasteful number, since it uses less digits than its factorization.

3446630800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27860 (or 27849 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 3446630800 is about 58708.0130816910. The cubic root of 3446630800 is about 1510.5377673197.

The spelling of 3446630800 in words is "three billion, four hundred forty-six million, six hundred thirty thousand, eight hundred".