3520852496640 has 288 divisors, whose sum is σ = 12610917164160. Its totient is φ = 930118311936.

The previous prime is 3520852496587. The next prime is 3520852496663. The reversal of 3520852496640 is 466942580253.

3520852496640 is a `hidden beast` number, since 3 + 5 + 20 + 8 + 524 + 96 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3520852496640² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3221862 + ... + 4173978.

It is an arithmetic number, because the mean of its divisors is an integer number (43787906820).

Almost surely, 2^{3520852496640} is an apocalyptic number.

3520852496640 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 3520852496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305458582080).

3520852496640 is an abundant number, since it is smaller than the sum of its proper divisors (9090064667520).

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

3520852496640 is a wasteful number, since it uses less digits than its factorization.

3520852496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952254 (or 952234 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3520852496640 in words is "three trillion, five hundred twenty billion, eight hundred fifty-two million, four hundred ninety-six thousand, six hundred forty".