3581411328000 has 1472 divisors, whose sum is σ = 15075333411840. Its totient is φ = 830472192000.

The previous prime is 3581411327983. The next prime is 3581411328017. The reversal of 3581411328000 is 8231141853.

3581411328000 is a `hidden beast` number, since 3 + 581 + 41 + 1 + 32 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3581411327983) and next prime (3581411328017).

It is a tau number, because it is divible by the number of its divisors (1472).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155713535989 + ... + 155713536011.

Almost surely, 2^{3581411328000} is an apocalyptic number.

3581411328000 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 3581411328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7537666705920).

3581411328000 is an abundant number, since it is smaller than the sum of its proper divisors (11493922083840).

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

3581411328000 is an frugal number, since it uses more digits than its factorization.

3581411328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 3581411328000 its reverse (8231141853), we get a palindrome (3589642469853).

The spelling of 3581411328000 in words is "three trillion, five hundred eighty-one billion, four hundred eleven million, three hundred twenty-eight thousand".