3550235101200 has 360 divisors, whose sum is σ = 12534386810400. Its totient is φ = 930346813440.

The previous prime is 3550235101187. The next prime is 3550235101201. The reversal of 3550235101200 is 21015320553.

It is a happy number.

3550235101200 is a `hidden beast` number, since 3 + 5 + 5 + 0 + 23 + 510 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (3550235101201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101045236 + ... + 101080364.

It is an arithmetic number, because the mean of its divisors is an integer number (34817741140).

Almost surely, 2^{3550235101200} is an apocalyptic number.

3550235101200 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 3550235101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267193405200).

3550235101200 is an abundant number, since it is smaller than the sum of its proper divisors (8984151709200).

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

3550235101200 is a wasteful number, since it uses less digits than its factorization.

3550235101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35639 (or 35625 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 3550235101200 in words is "three trillion, five hundred fifty billion, two hundred thirty-five million, one hundred one thousand, two hundred".