3669709324960 has 288 divisors, whose sum is σ = 10427409054720. Its totient is φ = 1215618969600.

The previous prime is 3669709324951. The next prime is 3669709324961. The reversal of 3669709324960 is 694239079663.

It is a junction number, because it is equal to n+sod(n) for n = 3669709324892 and 3669709324901.

It is not an unprimeable number, because it can be changed into a prime (3669709324961) 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 47 ways as a sum of consecutive naturals, for example, 153346276 + ... + 153370204.

It is an arithmetic number, because the mean of its divisors is an integer number (36206281440).

Almost surely, 2^{3669709324960} 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 3669709324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213704527360).

3669709324960 is an abundant number, since it is smaller than the sum of its proper divisors (6757699729760).

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

3669709324960 is a wasteful number, since it uses less digits than its factorization.

3669709324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24620 (or 24605 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 64.

The spelling of 3669709324960 in words is "three trillion, six hundred sixty-nine billion, seven hundred nine million, three hundred twenty-four thousand, nine hundred sixty".