3520416411648 has 624 divisors, whose sum is σ = 10942312340960. Its totient is φ = 1129991897088.

The previous prime is 3520416411647. The next prime is 3520416411671. The reversal of 3520416411648 is 8461146140253.

3520416411648 is a `hidden beast` number, since 3 + 520 + 4 + 1 + 6 + 4 + 116 + 4 + 8 = 666.

It is a super-2 number, since 2×3520416411648² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3520416411641) 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, 4014157386 + ... + 4014158262.

Almost surely, 2^{3520416411648} 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 3520416411648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471156170480).

3520416411648 is an abundant number, since it is smaller than the sum of its proper divisors (7421895929312).

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

3520416411648 is an equidigital number, since it uses as much as digits as its factorization.

3520416411648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3520416411648 in words is "three trillion, five hundred twenty billion, four hundred sixteen million, four hundred eleven thousand, six hundred forty-eight".