3589481248920 has 640 divisors, whose sum is σ = 14338031875200. Its totient is φ = 788029046784.

The previous prime is 3589481248907. The next prime is 3589481248963. The reversal of 3589481248920 is 298421849853.

3589481248920 is a `hidden beast` number, since 3 + 5 + 89 + 48 + 12 + 489 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126925822 + ... + 126954098.

It is an arithmetic number, because the mean of its divisors is an integer number (22403174805).

Almost surely, 2^{3589481248920} is an apocalyptic number.

3589481248920 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 3589481248920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169015937600).

3589481248920 is an abundant number, since it is smaller than the sum of its proper divisors (10748550626280).

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

3589481248920 is a wasteful number, since it uses less digits than its factorization.

3589481248920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28529 (or 28516 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 3589481248920 in words is "three trillion, five hundred eighty-nine billion, four hundred eighty-one million, two hundred forty-eight thousand, nine hundred twenty".