3888982798272 has 1120 divisors, whose sum is σ = 14393930088384. Its totient is φ = 1020012134400.

The previous prime is 3888982798243. The next prime is 3888982798291. The reversal of 3888982798272 is 2728972898883.

3888982798272 is a `hidden beast` number, since 388 + 8 + 9 + 82 + 7 + 98 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 3888982798191 and 3888982798200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5305569618 + ... + 5305570350.

Almost surely, 2^{3888982798272} is an apocalyptic number.

3888982798272 is a gapful number since it is divisible by the number (32) 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 3888982798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196965044192).

3888982798272 is an abundant number, since it is smaller than the sum of its proper divisors (10504947290112).

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

3888982798272 is a wasteful number, since it uses less digits than its factorization.

3888982798272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1200 counting only the distinct ones).

The product of its digits is 3121348608, while the sum is 81.

The spelling of 3888982798272 in words is "three trillion, eight hundred eighty-eight billion, nine hundred eighty-two million, seven hundred ninety-eight thousand, two hundred seventy-two".