3500216002200 has 192 divisors, whose sum is σ = 11042275168800. Its totient is φ = 916946841600.

The previous prime is 3500216002193. The next prime is 3500216002211. The reversal of 3500216002200 is 22006120053.

3500216002200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29550294 + ... + 29668506.

Almost surely, 2^{3500216002200} is an apocalyptic number.

3500216002200 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 3500216002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521137584400).

3500216002200 is an abundant number, since it is smaller than the sum of its proper divisors (7542059166600).

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

3500216002200 is a wasteful number, since it uses less digits than its factorization.

3500216002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119102 (or 119093 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 3500216002200 in words is "three trillion, five hundred billion, two hundred sixteen million, two thousand, two hundred".