3546630860832 has 144 divisors (see below), whose sum is σ = 10148600269080. Its totient is φ = 1174860288000.

The previous prime is 3546630860827. The next prime is 3546630860867. The reversal of 3546630860832 is 2380680366453.

3546630860832 is a `hidden beast` number, since 3 + 546 + 6 + 3 + 0 + 8 + 60 + 8 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3500476353936 + 46154506896 = 1870956^2 + 214836^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35630332 + ... + 35729732.

Almost surely, 2^{3546630860832} is an apocalyptic number.

3546630860832 is a gapful number since it is divisible by the number (32) 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 3546630860832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074300134540).

3546630860832 is an abundant number, since it is smaller than the sum of its proper divisors (6601969408248).

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

3546630860832 is a wasteful number, since it uses less digits than its factorization.

3546630860832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100187 (or 100176 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 3546630860832 in words is "three trillion, five hundred forty-six billion, six hundred thirty million, eight hundred sixty thousand, eight hundred thirty-two".