3558912215040 has 2688 divisors, whose sum is σ = 16362220492800. Its totient is φ = 726669066240.

The previous prime is 3558912215039. The next prime is 3558912215041. The reversal of 3558912215040 is 405122198553.

3558912215040 is a `hidden beast` number, since 3 + 5 + 58 + 91 + 2 + 2 + 1 + 504 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3558912215039) and next prime (3558912215041).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3558912215041) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 114803619825 + ... + 114803619855.

It is an arithmetic number, because the mean of its divisors is an integer number (6087135600).

Almost surely, 2^{3558912215040} is an apocalyptic number.

3558912215040 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 3558912215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181110246400).

3558912215040 is an abundant number, since it is smaller than the sum of its proper divisors (12803308277760).

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

3558912215040 is an frugal number, since it uses more digits than its factorization.

3558912215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 3558912215040 in words is "three trillion, five hundred fifty-eight billion, nine hundred twelve million, two hundred fifteen thousand, forty".