3661317682320 has 160 divisors (see below), whose sum is σ = 11457925395840. Its totient is φ = 967080591360.

The previous prime is 3661317682283. The next prime is 3661317682327. The reversal of 3661317682320 is 232867131663.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3661317682320.

It is not an unprimeable number, because it can be changed into a prime (3661317682327) 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 31 ways as a sum of consecutive naturals, for example, 87117952 + ... + 87159968.

It is an arithmetic number, because the mean of its divisors is an integer number (71612033724).

Almost surely, 2^{3661317682320} is an apocalyptic number.

3661317682320 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 3661317682320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728962697920).

3661317682320 is an abundant number, since it is smaller than the sum of its proper divisors (7796607713520).

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

3661317682320 is a wasteful number, since it uses less digits than its factorization.

3661317682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45473 (or 45467 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 3661317682320 in words is "three trillion, six hundred sixty-one billion, three hundred seventeen million, six hundred eighty-two thousand, three hundred twenty".