3545441130000 has 400 divisors, whose sum is σ = 14269295563776. Its totient is φ = 736714560000.

The previous prime is 3545441129987. The next prime is 3545441130043. The reversal of 3545441130000 is 311445453.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3545441130000.

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 79 ways as a sum of consecutive naturals, for example, 1542589 + ... + 3077411.

Almost surely, 2^{3545441130000} is an apocalyptic number.

3545441130000 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 3545441130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134647781888).

3545441130000 is an abundant number, since it is smaller than the sum of its proper divisors (10723854433776).

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

3545441130000 is a wasteful number, since it uses less digits than its factorization.

3545441130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534872 (or 1534851 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 3545441130000 its reverse (311445453), we get a palindrome (3545752575453).

The spelling of 3545441130000 in words is "three trillion, five hundred forty-five billion, four hundred forty-one million, one hundred thirty thousand".