3520273504320 has 672 divisors, whose sum is σ = 12760348124160. Its totient is φ = 923624570880.

The previous prime is 3520273504303. The next prime is 3520273504333. The reversal of 3520273504320 is 234053720253.

3520273504320 is a `hidden beast` number, since 3 + 52 + 0 + 2 + 73 + 504 + 32 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1543301580 + ... + 1543303860.

It is an arithmetic number, because the mean of its divisors is an integer number (18988613280).

Almost surely, 2^{3520273504320} is an apocalyptic number.

3520273504320 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 3520273504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380174062080).

3520273504320 is an abundant number, since it is smaller than the sum of its proper divisors (9240074619840).

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

3520273504320 is a wasteful number, since it uses less digits than its factorization.

3520273504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 3520273504320 in words is "three trillion, five hundred twenty billion, two hundred seventy-three million, five hundred four thousand, three hundred twenty".