3584989920960 has 1792 divisors, whose sum is σ = 15435657216000. Its totient is φ = 766004428800.

The previous prime is 3584989920937. The next prime is 3584989920971. The reversal of 3584989920960 is 690299894853.

3584989920960 is a `hidden beast` number, since 3 + 58 + 498 + 9 + 9 + 20 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 11453641764 + ... + 11453642076.

It is an arithmetic number, because the mean of its divisors is an integer number (8613648000).

Almost surely, 2^{3584989920960} is an apocalyptic number.

3584989920960 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 3584989920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7717828608000).

3584989920960 is an abundant number, since it is smaller than the sum of its proper divisors (11850667295040).

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

3584989920960 is a wasteful number, since it uses less digits than its factorization.

3584989920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 3584989920960 in words is "three trillion, five hundred eighty-four billion, nine hundred eighty-nine million, nine hundred twenty thousand, nine hundred sixty".