3550534041600 has 2592 divisors, whose sum is σ = 16564921027200. Its totient is φ = 749123665920.

The previous prime is 3550534041577. The next prime is 3550534041653. The reversal of 3550534041600 is 61404350553.

3550534041600 is a `hidden beast` number, since 3 + 5 + 5 + 0 + 5 + 3 + 4 + 0 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-3 number, since 3×3550534041600³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 273118003194 + ... + 273118003206.

Almost surely, 2^{3550534041600} is an apocalyptic number.

3550534041600 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 3550534041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8282460513600).

3550534041600 is an abundant number, since it is smaller than the sum of its proper divisors (13014386985600).

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

3550534041600 is an frugal number, since it uses more digits than its factorization.

3550534041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 3550534041600 in words is "three trillion, five hundred fifty billion, five hundred thirty-four million, forty-one thousand, six hundred".