3661181669376 has 2496 divisors, whose sum is σ = 14947882500096. Its totient is φ = 867129753600.

The previous prime is 3661181669347. The next prime is 3661181669377. The reversal of 3661181669376 is 6739661811663.

3661181669376 is a `hidden beast` number, since 3 + 6 + 611 + 8 + 1 + 6 + 6 + 9 + 3 + 7 + 6 = 666.

It is a super-3 number, since 3×3661181669376³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (35271936) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661181669377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54644502495 + ... + 54644502561.

It is an arithmetic number, because the mean of its divisors is an integer number (5988734976).

Almost surely, 2^{3661181669376} is an apocalyptic number.

3661181669376 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 3661181669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473941250048).

3661181669376 is an abundant number, since it is smaller than the sum of its proper divisors (11286700830720).

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

3661181669376 is a wasteful number, since it uses less digits than its factorization.

3661181669376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 144 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 3661181669376 in words is "three trillion, six hundred sixty-one billion, one hundred eighty-one million, six hundred sixty-nine thousand, three hundred seventy-six".