3881174040576 has 672 divisors, whose sum is σ = 14070312809280. Its totient is φ = 1043677052928.

The previous prime is 3881174040551. The next prime is 3881174040581. The reversal of 3881174040576 is 6750404711883.

3881174040576 is a `hidden beast` number, since 3 + 88 + 117 + 40 + 405 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228304355320 + ... + 228304355336.

It is an arithmetic number, because the mean of its divisors is an integer number (20937965490).

Almost surely, 2^{3881174040576} is an apocalyptic number.

3881174040576 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 3881174040576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035156404640).

3881174040576 is an abundant number, since it is smaller than the sum of its proper divisors (10189138768704).

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

3881174040576 is an frugal number, since it uses more digits than its factorization.

3881174040576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 3881174040576 in words is "three trillion, eight hundred eighty-one billion, one hundred seventy-four million, forty thousand, five hundred seventy-six".