3549015000000 has 1344 divisors, whose sum is σ = 13868364496896. Its totient is φ = 898128000000.

The previous prime is 3549014999989. The next prime is 3549015000007. The reversal of 3549015000000 is 5109453.

It is a super-3 number, since 3×3549015000000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3549015000007) by changing a digit.

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, 27944999937 + ... + 27945000063.

It is an arithmetic number, because the mean of its divisors is an integer number (10318723584).

Almost surely, 2^{3549015000000} is an apocalyptic number.

3549015000000 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 3549015000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934182248448).

3549015000000 is an abundant number, since it is smaller than the sum of its proper divisors (10319349496896).

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

3549015000000 is an frugal number, since it uses more digits than its factorization.

3549015000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 3549015000000 in words is "three trillion, five hundred forty-nine billion, fifteen million", and thus it is an aban number.