3504535695360 has 936 divisors, whose sum is σ = 14587850699136. Its totient is φ = 775134904320.

The previous prime is 3504535695359. The next prime is 3504535695421. The reversal of 3504535695360 is 635965354053.

3504535695360 is a `hidden beast` number, since 3 + 5 + 0 + 4 + 53 + 56 + 9 + 536 + 0 = 666.

3504535695360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3504535695297 and 3504535695306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 279975822 + ... + 279988338.

It is an arithmetic number, because the mean of its divisors is an integer number (15585310576).

Almost surely, 2^{3504535695360} is an apocalyptic number.

3504535695360 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 3504535695360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293925349568).

3504535695360 is an abundant number, since it is smaller than the sum of its proper divisors (11083315003776).

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

3504535695360 is a wasteful number, since it uses less digits than its factorization.

3504535695360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12597 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 21870000, while the sum is 54.

The spelling of 3504535695360 in words is "three trillion, five hundred four billion, five hundred thirty-five million, six hundred ninety-five thousand, three hundred sixty".