3541200000000 has 792 divisors, whose sum is σ = 12761759090976. Its totient is φ = 867840000000.

The previous prime is 3541199999923. The next prime is 3541200000007. The reversal of 3541200000000 is 21453.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3541200000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15599999887 + ... + 15600000113.

Almost surely, 2^{3541200000000} is an apocalyptic number.

3541200000000 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 3541200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6380879545488).

3541200000000 is an abundant number, since it is smaller than the sum of its proper divisors (9220559090976).

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

3541200000000 is an frugal number, since it uses more digits than its factorization.

3541200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 3541200000000 its reverse (21453), we get a palindrome (3541200021453).

The spelling of 3541200000000 in words is "three trillion, five hundred forty-one billion, two hundred million", and thus it is an aban number.