3665344426560 has 1344 divisors, whose sum is σ = 14347363500288. Its totient is φ = 886908911616.

The previous prime is 3665344426481. The next prime is 3665344426571. The reversal of 3665344426560 is 656244435663.

3665344426560 is a `hidden beast` number, since 3 + 6 + 6 + 5 + 34 + 4 + 42 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3665344426497 and 3665344426506.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6700812207 + ... + 6700812753.

It is an arithmetic number, because the mean of its divisors is an integer number (10675121652).

Almost surely, 2^{3665344426560} is an apocalyptic number.

3665344426560 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 3665344426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7173681750144).

3665344426560 is an abundant number, since it is smaller than the sum of its proper divisors (10682019073728).

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

3665344426560 is a wasteful number, since it uses less digits than its factorization.

3665344426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

It can be divided in two parts, 3665344 and 426560, that added together give a palindrome (4091904).

The spelling of 3665344426560 in words is "three trillion, six hundred sixty-five billion, three hundred forty-four million, four hundred twenty-six thousand, five hundred sixty".