3544540876224 has 672 divisors, whose sum is σ = 11222486795520. Its totient is φ = 1107298418688.

The previous prime is 3544540876223. The next prime is 3544540876231. The reversal of 3544540876224 is 4226780454453.

It is a happy number.

3544540876224 is a `hidden beast` number, since 3 + 5 + 4 + 4 + 5 + 4 + 0 + 8 + 7 + 622 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3544540876223) 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 95 ways as a sum of consecutive naturals, for example, 3742914919 + ... + 3742915865.

It is an arithmetic number, because the mean of its divisors is an integer number (16700129160).

Almost surely, 2^{3544540876224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3544540876224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5611243397760).

3544540876224 is an abundant number, since it is smaller than the sum of its proper divisors (7677945919296).

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

3544540876224 is a wasteful number, since it uses less digits than its factorization.

3544540876224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 3544540876224 in words is "three trillion, five hundred forty-four billion, five hundred forty million, eight hundred seventy-six thousand, two hundred twenty-four".