3872821877760 has 352 divisors, whose sum is σ = 13519239552000. Its totient is φ = 938437181440.

The previous prime is 3872821877759. The next prime is 3872821877773. The reversal of 3872821877760 is 677781282783.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 3872821877691 and 3872821877700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526982566 + ... + 526989914.

Almost surely, 2^{3872821877760} is an apocalyptic number.

3872821877760 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 3872821877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6759619776000).

3872821877760 is an abundant number, since it is smaller than the sum of its proper divisors (9646417674240).

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

3872821877760 is a wasteful number, since it uses less digits than its factorization.

3872821877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10507 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 66.

The spelling of 3872821877760 in words is "three trillion, eight hundred seventy-two billion, eight hundred twenty-one million, eight hundred seventy-seven thousand, seven hundred sixty".