3546696960 has 108 divisors (see below), whose sum is σ = 12271241892. Its totient is φ = 945782784.

The previous prime is 3546696947. The next prime is 3546696971. The reversal of 3546696960 is 696966453.

It is a happy number.

3546696960 is a `hidden beast` number, since 3 + 5 + 466 + 96 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2345658624 + 1201038336 = 48432^2 + 34656^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3546696897 and 3546696906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142417 + ... + 165456.

Almost surely, 2^3546696960 is an apocalyptic number.

3546696960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3546696960 is an abundant number, since it is smaller than the sum of its proper divisors (8724544932).

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

3546696960 is a wasteful number, since it uses less digits than its factorization.

3546696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307900 (or 307883 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The square root of 3546696960 is about 59554.1514925702. The cubic root of 3546696960 is about 1525.0170325071.

The spelling of 3546696960 in words is "three billion, five hundred forty-six million, six hundred ninety-six thousand, nine hundred sixty".