3549275138304 has 945 divisors, whose sum is σ = 12532592036153. Its totient is φ = 1002684469248.

The previous prime is 3549275138287. The next prime is 3549275138329. The reversal of 3549275138304 is 4038315729453.

The square root of 3549275138304 is 1883952.

It is a perfect power (a square), and thus also a powerful number.

3549275138304 is a `hidden beast` number, since 3 + 5 + 4 + 92 + 7 + 513 + 8 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 681536104704 + 2867739033600 = 825552^2 + 1693440^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 39879495892 + ... + 39879495980.

Almost surely, 2^{3549275138304} is an apocalyptic number.

3549275138304 is the 1883952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3549275138304

3549275138304 is an abundant number, since it is smaller than the sum of its proper divisors (8983316897849).

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

3549275138304 is an frugal number, since it uses more digits than its factorization.

3549275138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 3549275138304 in words is "three trillion, five hundred forty-nine billion, two hundred seventy-five million, one hundred thirty-eight thousand, three hundred four".