3506315628160 has 64 divisors (see below), whose sum is σ = 8875361461320. Its totient is φ = 1320024702976.

The previous prime is 3506315628119. The next prime is 3506315628163. The reversal of 3506315628160 is 618265136053.

It can be written as a sum of positive squares in 4 ways, for example, as 2327284495936 + 1179031132224 = 1525544^2 + 1085832^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3506315628160.

It is not an unprimeable number, because it can be changed into a prime (3506315628163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161124949 + ... + 161146708.

Almost surely, 2^{3506315628160} is an apocalyptic number.

It is an amenable number.

3506315628160 is an abundant number, since it is smaller than the sum of its proper divisors (5369045833160).

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

3506315628160 is a wasteful number, since it uses less digits than its factorization.

3506315628160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322271693 (or 322271681 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 3506315628160 in words is "three trillion, five hundred six billion, three hundred fifteen million, six hundred twenty-eight thousand, one hundred sixty".