3549344400 has 720 divisors, whose sum is σ = 15512846400. Its totient is φ = 766402560.

The previous prime is 3549344389. The next prime is 3549344417. The reversal of 3549344400 is 44439453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3549344400² = 25195691339622720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10054624 + ... + 10054976.

It is an arithmetic number, because the mean of its divisors is an integer number (21545620).

Almost surely, 2^3549344400 is an apocalyptic number.

3549344400 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 3549344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7756423200).

3549344400 is an abundant number, since it is smaller than the sum of its proper divisors (11963502000).

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

3549344400 is a wasteful number, since it uses less digits than its factorization.

3549344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3549344400 is about 59576.3745120497. The cubic root of 3549344400 is about 1525.3963889413.

The spelling of 3549344400 in words is "three billion, five hundred forty-nine million, three hundred forty-four thousand, four hundred".