3505104989856 has 144 divisors (see below), whose sum is σ = 10247466902400. Its totient is φ = 1165604123520.

The previous prime is 3505104989849. The next prime is 3505104989927. The reversal of 3505104989856 is 6589894015053.

3505104989856 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 1 + 0 + 498 + 98 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3505104989793 and 3505104989802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160486585 + ... + 160508423.

It is an arithmetic number, because the mean of its divisors is an integer number (71162964600).

Almost surely, 2^{3505104989856} is an apocalyptic number.

3505104989856 is a gapful number since it is divisible by the number (36) 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 3505104989856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5123733451200).

3505104989856 is an abundant number, since it is smaller than the sum of its proper divisors (6742361912544).

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

3505104989856 is an equidigital number, since it uses as much as digits as its factorization.

3505104989856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22720 (or 22275 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 3505104989856 in words is "three trillion, five hundred five billion, one hundred four million, nine hundred eighty-nine thousand, eight hundred fifty-six".