3861884574756 has 288 divisors, whose sum is σ = 11495143349760. Its totient is φ = 1114360934400.

The previous prime is 3861884574727. The next prime is 3861884574761. The reversal of 3861884574756 is 6574754881683.

3861884574756 is a `hidden beast` number, since 3 + 8 + 6 + 1 + 88 + 457 + 47 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 114000501 + ... + 114034371.

Almost surely, 2^{3861884574756} is an apocalyptic number.

3861884574756 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 3861884574756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747571674880).

3861884574756 is an abundant number, since it is smaller than the sum of its proper divisors (7633258775004).

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

3861884574756 is a wasteful number, since it uses less digits than its factorization.

3861884574756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34212 (or 34187 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 72.

The spelling of 3861884574756 in words is "three trillion, eight hundred sixty-one billion, eight hundred eighty-four million, five hundred seventy-four thousand, seven hundred fifty-six".