3506822403264 has 560 divisors, whose sum is σ = 10836028985760. Its totient is φ = 1120460636160.

The previous prime is 3506822403221. The next prime is 3506822403313. The reversal of 3506822403264 is 4623042286053.

3506822403264 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 82 + 240 + 326 + 4 = 666.

3506822403264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4946152542 + ... + 4946153250.

Almost surely, 2^{3506822403264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3506822403264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418014492880).

3506822403264 is an abundant number, since it is smaller than the sum of its proper divisors (7329206582496).

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

3506822403264 is a wasteful number, since it uses less digits than its factorization.

3506822403264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 3506822403264 in words is "three trillion, five hundred six billion, eight hundred twenty-two million, four hundred three thousand, two hundred sixty-four".