3504385097856 has 192 divisors, whose sum is σ = 10862121853440. Its totient is φ = 1081296691200.

The previous prime is 3504385097827. The next prime is 3504385097893. The reversal of 3504385097856 is 6587905834053.

3504385097856 is a `hidden beast` number, since 3 + 5 + 0 + 4 + 3 + 8 + 509 + 78 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×3504385097856³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3504385097793 and 3504385097802.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1311865 + ... + 2954616.

It is an arithmetic number, because the mean of its divisors is an integer number (56573551320).

Almost surely, 2^{3504385097856} is an apocalyptic number.

3504385097856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3504385097856 is an abundant number, since it is smaller than the sum of its proper divisors (7357736755584).

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

3504385097856 is a wasteful number, since it uses less digits than its factorization.

3504385097856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266555 (or 4266540 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 3504385097856 in words is "three trillion, five hundred four billion, three hundred eighty-five million, ninety-seven thousand, eight hundred fifty-six".