3623184660480 has 1152 divisors, whose sum is σ = 15419462123520. Its totient is φ = 708496588800.

The previous prime is 3623184660467. The next prime is 3623184660539. The reversal of 3623184660480 is 840664813263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 442333185 + ... + 442341375.

It is an arithmetic number, because the mean of its divisors is an integer number (13384949760).

Almost surely, 2^{3623184660480} is an apocalyptic number.

3623184660480 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 3623184660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709731061760).

3623184660480 is an abundant number, since it is smaller than the sum of its proper divisors (11796277463040).

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

3623184660480 is a wasteful number, since it uses less digits than its factorization.

3623184660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 3623184660480 in words is "three trillion, six hundred twenty-three billion, one hundred eighty-four million, six hundred sixty thousand, four hundred eighty".