3506094349560 has 768 divisors, whose sum is σ = 13066459660800. Its totient is φ = 835460904960.

The previous prime is 3506094349543. The next prime is 3506094349567. The reversal of 3506094349560 is 659434906053.

3506094349560 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 0 + 94 + 3 + 495 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3506094349497 and 3506094349506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506094349567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4455011487 + ... + 4455012273.

It is an arithmetic number, because the mean of its divisors is an integer number (17013619350).

Almost surely, 2^{3506094349560} is an apocalyptic number.

3506094349560 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 3506094349560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533229830400).

3506094349560 is an abundant number, since it is smaller than the sum of its proper divisors (9560365311240).

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

3506094349560 is a wasteful number, since it uses less digits than its factorization.

3506094349560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 3506094349560 in words is "three trillion, five hundred six billion, ninety-four million, three hundred forty-nine thousand, five hundred sixty".