3546216000 has 168 divisors, whose sum is σ = 12685663224. Its totient is φ = 945638400.

The previous prime is 3546215987. The next prime is 3546216053. The reversal of 3546216000 is 6126453.

3546216000 is a `hidden beast` number, since 3 + 54 + 6 + 2 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 614643264 + 2931572736 = 24792^2 + 54144^2 .

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, 47374 + ... + 96626.

Almost surely, 2^3546216000 is an apocalyptic number.

3546216000 is a gapful number since it is divisible by the number (30) 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 3546216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342831612).

3546216000 is an abundant number, since it is smaller than the sum of its proper divisors (9139447224).

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

3546216000 is a wasteful number, since it uses less digits than its factorization.

3546216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49286 (or 49263 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3546216000 is about 59550.1133500181. The cubic root of 3546216000 is about 1524.9480946232.

The spelling of 3546216000 in words is "three billion, five hundred forty-six million, two hundred sixteen thousand".