3665520709760 has 512 divisors, whose sum is σ = 11462791334400. Its totient is φ = 1087699156992.

The previous prime is 3665520709733. The next prime is 3665520709793. The reversal of 3665520709760 is 679070255663.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 3665520709696 and 3665520709705.

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 63 ways as a sum of consecutive naturals, for example, 266324639 + ... + 266338401.

It is an arithmetic number, because the mean of its divisors is an integer number (22388264325).

Almost surely, 2^{3665520709760} 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 3665520709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731395667200).

3665520709760 is an abundant number, since it is smaller than the sum of its proper divisors (7797270624640).

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

3665520709760 is a wasteful number, since it uses less digits than its factorization.

3665520709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14088 (or 14076 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 56.

The spelling of 3665520709760 in words is "three trillion, six hundred sixty-five billion, five hundred twenty million, seven hundred nine thousand, seven hundred sixty".