3544505252000 has 576 divisors, whose sum is σ = 9670615194240. Its totient is φ = 1273079808000.

The previous prime is 3544505251999. The next prime is 3544505252003. The reversal of 3544505252000 is 2525054453.

3544505252000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3544505252003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5266723664 + ... + 5266724336.

It is an arithmetic number, because the mean of its divisors is an integer number (16789262490).

Almost surely, 2^{3544505252000} 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 3544505252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835307597120).

3544505252000 is an abundant number, since it is smaller than the sum of its proper divisors (6126109942240).

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

3544505252000 is a wasteful number, since it uses less digits than its factorization.

3544505252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 35.

The spelling of 3544505252000 in words is "three trillion, five hundred forty-four billion, five hundred five million, two hundred fifty-two thousand".