3528917468160 has 2112 divisors, whose sum is σ = 14752313049600. Its totient is φ = 716754124800.

The previous prime is 3528917468159. The next prime is 3528917468183. The reversal of 3528917468160 is 618647198253.

It is a happy number.

It is a super-3 number, since 3×3528917468160³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3528917468094 and 3528917468103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 86071157740 + ... + 86071157780.

It is a 1-persistent number, because it is pandigital, but 2⋅3528917468160 = 7057834936320 is not.

Almost surely, 2^{3528917468160} is an apocalyptic number.

3528917468160 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 3528917468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376156524800).

3528917468160 is an abundant number, since it is smaller than the sum of its proper divisors (11223395581440).

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

3528917468160 is a wasteful number, since it uses less digits than its factorization.

3528917468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 3528917468160 in words is "three trillion, five hundred twenty-eight billion, nine hundred seventeen million, four hundred sixty-eight thousand, one hundred sixty".