3506229800 has 72 divisors (see below), whose sum is σ = 8356463850. Its totient is φ = 1368153600.

The previous prime is 3506229791. The next prime is 3506229817. The reversal of 3506229800 is 89226053.

It can be written as a sum of positive squares in 9 ways, for example, as 3247204 + 3502982596 = 1802^2 + 59186^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 330986 + ... + 341414.

Almost surely, 2^3506229800 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 3506229800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178231925).

3506229800 is an abundant number, since it is smaller than the sum of its proper divisors (4850234050).

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

3506229800 is a wasteful number, since it uses less digits than its factorization.

3506229800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 3506229800 is about 59213.4258424557. The cubic root of 3506229800 is about 1519.1947778013.

The spelling of 3506229800 in words is "three billion, five hundred six million, two hundred twenty-nine thousand, eight hundred".