3909166981776 has 640 divisors, whose sum is σ = 13755169612800. Its totient is φ = 1037569720320.

The previous prime is 3909166981721. The next prime is 3909166981823. The reversal of 3909166981776 is 6771896619093.

3909166981776 is a `hidden beast` number, since 390 + 9 + 1 + 6 + 69 + 8 + 177 + 6 = 666.

It is a super-2 number, since 2×3909166981776² (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 127 ways as a sum of consecutive naturals, for example, 1641816106 + ... + 1641818486.

It is an arithmetic number, because the mean of its divisors is an integer number (21492452520).

Almost surely, 2^{3909166981776} is an apocalyptic number.

3909166981776 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 3909166981776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877584806400).

3909166981776 is an abundant number, since it is smaller than the sum of its proper divisors (9846002631024).

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

3909166981776 is a wasteful number, since it uses less digits than its factorization.

3909166981776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 3909166981776 in words is "three trillion, nine hundred nine billion, one hundred sixty-six million, nine hundred eighty-one thousand, seven hundred seventy-six".