3506313324456 has 96 divisors (see below), whose sum is σ = 10092248735400. Its totient is φ = 1095930470400.

The previous prime is 3506313324443. The next prime is 3506313324461. The reversal of 3506313324456 is 6544233136053.

3506313324456 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 313 + 324 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3255678922500 + 250634401956 = 1804350^2 + 500634^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4995345 + ... + 5653856.

Almost surely, 2^{3506313324456} is an apocalyptic number.

3506313324456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3506313324456 is an abundant number, since it is smaller than the sum of its proper divisors (6585935410944).

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

3506313324456 is a wasteful number, since it uses less digits than its factorization.

3506313324456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10649499 (or 10649492 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 3506313324456 in words is "three trillion, five hundred six billion, three hundred thirteen million, three hundred twenty-four thousand, four hundred fifty-six".