1830338710200 has 2880 divisors, whose sum is σ = 8904223426560. Its totient is φ = 338722560000.

The previous prime is 1830338710159. The next prime is 1830338710219. The reversal of 1830338710200 is 20178330381.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 719 ways as a sum of consecutive naturals, for example, 5529724035 + ... + 5529724365.

Almost surely, 2^{1830338710200} is an apocalyptic number.

1830338710200 is a gapful number since it is divisible by the number (10) 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 1830338710200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452111713280).

1830338710200 is an abundant number, since it is smaller than the sum of its proper divisors (7073884716360).

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

1830338710200 is a wasteful number, since it uses less digits than its factorization.

1830338710200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1830338710200 in words is "one trillion, eight hundred thirty billion, three hundred thirty-eight million, seven hundred ten thousand, two hundred".