3545201104000 has 128 divisors (see below), whose sum is σ = 8873418294000. Its totient is φ = 1408562176000.

The previous prime is 3545201103989. The next prime is 3545201104001. The reversal of 3545201104000 is 4011025453.

It is a happy number.

3545201104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 455171512896 + 3090029591104 = 674664^2 + 1757848^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3545201104001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640460 + ... + 3127540.

Almost surely, 2^{3545201104000} 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 3545201104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436709147000).

3545201104000 is an abundant number, since it is smaller than the sum of its proper divisors (5328217190000).

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

3545201104000 is a wasteful number, since it uses less digits than its factorization.

3545201104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487259 (or 1487237 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 3545201104000 its reverse (4011025453), we get a palindrome (3549212129453).

The spelling of 3545201104000 in words is "three trillion, five hundred forty-five billion, two hundred one million, one hundred four thousand".