3520524843864 has 1024 divisors, whose sum is σ = 12489523200000. Its totient is φ = 896243097600.

The previous prime is 3520524843851. The next prime is 3520524843877. The reversal of 3520524843864 is 4683484250253.

3520524843864 is a `hidden beast` number, since 3 + 5 + 2 + 0 + 524 + 84 + 38 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3520524843851) and next prime (3520524843877).

It is a super-3 number, since 3×3520524843864³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3520524843864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10087463562 + ... + 10087463910.

It is an arithmetic number, because the mean of its divisors is an integer number (12196800000).

Almost surely, 2^{3520524843864} 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 3520524843864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244761600000).

3520524843864 is an abundant number, since it is smaller than the sum of its proper divisors (8968998356136).

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

3520524843864 is a wasteful number, since it uses less digits than its factorization.

3520524843864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 54.

The spelling of 3520524843864 in words is "three trillion, five hundred twenty billion, five hundred twenty-four million, eight hundred forty-three thousand, eight hundred sixty-four".