3520473072408 has 192 divisors, whose sum is σ = 9839252666880. Its totient is φ = 1136431296000.

The previous prime is 3520473072397. The next prime is 3520473072409. The reversal of 3520473072408 is 8042703740253.

3520473072408 is a `hidden beast` number, since 3 + 5 + 204 + 7 + 30 + 7 + 2 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3520473072409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 892839285 + ... + 892843227.

It is an arithmetic number, because the mean of its divisors is an integer number (51246107640).

Almost surely, 2^{3520473072408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3520473072408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919626333440).

3520473072408 is an abundant number, since it is smaller than the sum of its proper divisors (6318779594472).

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

3520473072408 is a wasteful number, since it uses less digits than its factorization.

3520473072408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6143 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 3520473072408 in words is "three trillion, five hundred twenty billion, four hundred seventy-three million, seventy-two thousand, four hundred eight".