3800203183104 has 352 divisors, whose sum is σ = 10822862241792. Its totient is φ = 1181368320000.

The previous prime is 3800203183081. The next prime is 3800203183151. The reversal of 3800203183104 is 4013813020083.

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 31 ways as a sum of consecutive naturals, for example, 3301652929 + ... + 3301654079.

Almost surely, 2^{3800203183104} is an apocalyptic number.

3800203183104 is a gapful number since it is divisible by the number (34) 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 3800203183104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411431120896).

3800203183104 is an abundant number, since it is smaller than the sum of its proper divisors (7022659058688).

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

3800203183104 is a wasteful number, since it uses less digits than its factorization.

3800203183104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 3800203183104 in words is "three trillion, eight hundred billion, two hundred three million, one hundred eighty-three thousand, one hundred four".