3546406800 has 300 divisors, whose sum is σ = 13283941440. Its totient is φ = 904400640.

The previous prime is 3546406783. The next prime is 3546406817. The reversal of 3546406800 is 86046453.

3546406800 is a `hidden beast` number, since 3 + 5 + 4 + 640 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3546406783) and next prime (3546406817).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 742821 + ... + 747579.

Almost surely, 2^3546406800 is an apocalyptic number.

3546406800 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 3546406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6641970720).

3546406800 is an abundant number, since it is smaller than the sum of its proper divisors (9737534640).

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

3546406800 is a wasteful number, since it uses less digits than its factorization.

3546406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3546406800 is about 59551.7153405341. The cubic root of 3546406800 is about 1524.9754434817.

The spelling of 3546406800 in words is "three billion, five hundred forty-six million, four hundred six thousand, eight hundred".