3666377265408 has 1296 divisors, whose sum is σ = 13158634664448. Its totient is φ = 971882496000.

The previous prime is 3666377265389. The next prime is 3666377265413. The reversal of 3666377265408 is 8045627736663.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7037192188 + ... + 7037192708.

It is an arithmetic number, because the mean of its divisors is an integer number (10153267488).

Almost surely, 2^{3666377265408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3666377265408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579317332224).

3666377265408 is an abundant number, since it is smaller than the sum of its proper divisors (9492257399040).

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

3666377265408 is a wasteful number, since it uses less digits than its factorization.

3666377265408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 3666377265408 in words is "three trillion, six hundred sixty-six billion, three hundred seventy-seven million, two hundred sixty-five thousand, four hundred eight".