3549241048320 has 1728 divisors, whose sum is σ = 14519382958080. Its totient is φ = 822339993600.

The previous prime is 3549241048319. The next prime is 3549241048363. The reversal of 3549241048320 is 238401429453.

3549241048320 is a `hidden beast` number, since 3 + 5 + 49 + 241 + 0 + 48 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3549241048320² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11561045607 + ... + 11561045913.

Almost surely, 2^{3549241048320} is an apocalyptic number.

3549241048320 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 3549241048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259691479040).

3549241048320 is an abundant number, since it is smaller than the sum of its proper divisors (10970141909760).

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

3549241048320 is a wasteful number, since it uses less digits than its factorization.

3549241048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3549241048320 in words is "three trillion, five hundred forty-nine billion, two hundred forty-one million, forty-eight thousand, three hundred twenty".