3584985505920 has 5120 divisors, whose sum is σ = 18153521971200. Its totient is φ = 652712214528.

The previous prime is 3584985505903. The next prime is 3584985505951. The reversal of 3584985505920 is 295055894853.

3584985505920 is a `hidden beast` number, since 3 + 5 + 8 + 4 + 9 + 8 + 550 + 59 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 76276287337 + ... + 76276287383.

It is an arithmetic number, because the mean of its divisors is an integer number (3545609760).

Almost surely, 2^{3584985505920} is an apocalyptic number.

3584985505920 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 3584985505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9076760985600).

3584985505920 is an abundant number, since it is smaller than the sum of its proper divisors (14568536465280).

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

3584985505920 is a wasteful number, since it uses less digits than its factorization.

3584985505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 3584985505920 in words is "three trillion, five hundred eighty-four billion, nine hundred eighty-five million, five hundred five thousand, nine hundred twenty".