3882161217000 has 1536 divisors, whose sum is σ = 14386908856320. Its totient is φ = 869299200000.

The previous prime is 3882161216911. The next prime is 3882161217029. The reversal of 3882161217000 is 7121612883.

It is a self number, because there is not a number n which added to its sum of digits gives 3882161217000.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34355408944 + ... + 34355409056.

It is an arithmetic number, because the mean of its divisors is an integer number (9366477120).

Almost surely, 2^{3882161217000} is an apocalyptic number.

3882161217000 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 3882161217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193454428160).

3882161217000 is an abundant number, since it is smaller than the sum of its proper divisors (10504747639320).

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

3882161217000 is a wasteful number, since it uses less digits than its factorization.

3882161217000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

Adding to 3882161217000 its reverse (7121612883), we get a palindrome (3889282829883).

The spelling of 3882161217000 in words is "three trillion, eight hundred eighty-two billion, one hundred sixty-one million, two hundred seventeen thousand".