3666341111040 has 1152 divisors, whose sum is σ = 13606694115840. Its totient is φ = 934281216000.

The previous prime is 3666341111039. The next prime is 3666341111047. The reversal of 3666341111040 is 401111436663.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3666341110986 and 3666341111004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666341111047) 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 127 ways as a sum of consecutive naturals, for example, 14265918592 + ... + 14265918848.

It is an arithmetic number, because the mean of its divisors is an integer number (11811366420).

Almost surely, 2^{3666341111040} is an apocalyptic number.

3666341111040 is a gapful number since it is divisible by the number (30) 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 3666341111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803347057920).

3666341111040 is an abundant number, since it is smaller than the sum of its proper divisors (9940353004800).

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

3666341111040 is a wasteful number, since it uses less digits than its factorization.

3666341111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 3666341111040 in words is "three trillion, six hundred sixty-six billion, three hundred forty-one million, one hundred eleven thousand, forty".