3850827817200 has 720 divisors, whose sum is σ = 16125198921216. Its totient is φ = 777153484800.

The previous prime is 3850827817183. The next prime is 3850827817201. The reversal of 3850827817200 is 27187280583.

It is a super-3 number, since 3×3850827817200³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3850827817201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17471685 + ... + 17690715.

Almost surely, 2^{3850827817200} is an apocalyptic number.

3850827817200 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 3850827817200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8062599460608).

3850827817200 is an abundant number, since it is smaller than the sum of its proper divisors (12274371104016).

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

3850827817200 is a wasteful number, since it uses less digits than its factorization.

3850827817200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219102 (or 219084 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 3850827817200 in words is "three trillion, eight hundred fifty billion, eight hundred twenty-seven million, eight hundred seventeen thousand, two hundred".