3546413411200 has 384 divisors, whose sum is σ = 10127781021600. Its totient is φ = 1212737126400.

The previous prime is 3546413411197. The next prime is 3546413411213. The reversal of 3546413411200 is 21143146453.

3546413411200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1250056182 + ... + 1250059018.

Almost surely, 2^{3546413411200} 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 3546413411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063890510800).

3546413411200 is an abundant number, since it is smaller than the sum of its proper divisors (6581367610400).

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

3546413411200 is a wasteful number, since it uses less digits than its factorization.

3546413411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 3546413411200 its reverse (21143146453), we get a palindrome (3567556557653).

The spelling of 3546413411200 in words is "three trillion, five hundred forty-six billion, four hundred thirteen million, four hundred eleven thousand, two hundred".