3512305445220 has 480 divisors, whose sum is σ = 13705952996736. Its totient is φ = 739736064000.

The previous prime is 3512305445179. The next prime is 3512305445227. The reversal of 3512305445220 is 225445032153.

3512305445220 is a `hidden beast` number, since 3 + 5 + 12 + 30 + 544 + 52 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3512305445227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3492295 + ... + 4384145.

Almost surely, 2^{3512305445220} is an apocalyptic number.

3512305445220 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 3512305445220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852976498368).

3512305445220 is an abundant number, since it is smaller than the sum of its proper divisors (10193647551516).

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

3512305445220 is a wasteful number, since it uses less digits than its factorization.

3512305445220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891913 (or 891902 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 3512305445220 in words is "three trillion, five hundred twelve billion, three hundred five million, four hundred forty-five thousand, two hundred twenty".