3802821817600 has 216 divisors, whose sum is σ = 10198846905632. Its totient is φ = 1395499622400.

The previous prime is 3802821817511. The next prime is 3802821817601. The reversal of 3802821817600 is 67181282083.

It is a super-2 number, since 2×3802821817600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802821817601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13421395 + ... + 13701805.

Almost surely, 2^{3802821817600} 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 3802821817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099423452816).

3802821817600 is an abundant number, since it is smaller than the sum of its proper divisors (6396025088032).

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

3802821817600 is a wasteful number, since it uses less digits than its factorization.

3802821817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280613 (or 280594 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 3802821817600 in words is "three trillion, eight hundred two billion, eight hundred twenty-one million, eight hundred seventeen thousand, six hundred".