3546386688 has 144 divisors (see below), whose sum is σ = 10198742400. Its totient is φ = 1087537152.

The previous prime is 3546386681. The next prime is 3546386699. The reversal of 3546386688 is 8866836453.

It is not an unprimeable number, because it can be changed into a prime (3546386681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5920213 + ... + 5920811.

It is an arithmetic number, because the mean of its divisors is an integer number (70824600).

Almost surely, 2^3546386688 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 3546386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099371200).

3546386688 is an abundant number, since it is smaller than the sum of its proper divisors (6652355712).

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

3546386688 is a wasteful number, since it uses less digits than its factorization.

3546386688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1210 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 57.

The square root of 3546386688 is about 59551.5464786600. The cubic root of 3546386688 is about 1524.9725607174.

The spelling of 3546386688 in words is "three billion, five hundred forty-six million, three hundred eighty-six thousand, six hundred eighty-eight".