3549484800 has 540 divisors, whose sum is σ = 13524665616. Its totient is φ = 917913600.

The previous prime is 3549484787. The next prime is 3549484801. The reversal of 3549484800 is 84849453.

It is a happy number.

3549484800 is a `hidden beast` number, since 3 + 5 + 494 + 84 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3549484801) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 21254317 + ... + 21254483.

Almost surely, 2^3549484800 is an apocalyptic number.

3549484800 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 3549484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6762332808).

3549484800 is an abundant number, since it is smaller than the sum of its proper divisors (9975180816).

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

3549484800 is a wasteful number, since it uses less digits than its factorization.

3549484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3549484800 is about 59577.5528198331. The cubic root of 3549484800 is about 1525.4165018415.

The spelling of 3549484800 in words is "three billion, five hundred forty-nine million, four hundred eighty-four thousand, eight hundred".