3882517279776 has 180 divisors, whose sum is σ = 11798599498686. Its totient is φ = 1252424125440.

The previous prime is 3882517279733. The next prime is 3882517279787. The reversal of 3882517279776 is 6779727152883.

3882517279776 is a `hidden beast` number, since 3 + 8 + 82 + 517 + 27 + 9 + 7 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3034828789776 + 847688490000 = 1742076^2 + 920700^2 .

It is a super-2 number, since 2×3882517279776² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1711576 + ... + 3270248.

Almost surely, 2^{3882517279776} is an apocalyptic number.

3882517279776 is a gapful number since it is divisible by the number (36) 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 3882517279776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899299749343).

3882517279776 is an abundant number, since it is smaller than the sum of its proper divisors (7916082218910).

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

3882517279776 is a wasteful number, since it uses less digits than its factorization.

3882517279776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558757 (or 1558709 counting only the distinct ones).

The product of its digits is 497871360, while the sum is 72.

The spelling of 3882517279776 in words is "three trillion, eight hundred eighty-two billion, five hundred seventeen million, two hundred seventy-nine thousand, seven hundred seventy-six".