3541180325760 has 768 divisors, whose sum is σ = 15915643603200. Its totient is φ = 735827742720.

The previous prime is 3541180325713. The next prime is 3541180325807. The reversal of 3541180325760 is 675230811453.

It is a happy number.

3541180325760 is a `hidden beast` number, since 3 + 5 + 41 + 1 + 8 + 0 + 32 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3541180325713) and next prime (3541180325807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9123819 + ... + 9504021.

It is an arithmetic number, because the mean of its divisors is an integer number (20723494275).

Almost surely, 2^{3541180325760} is an apocalyptic number.

3541180325760 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 3541180325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7957821801600).

3541180325760 is an abundant number, since it is smaller than the sum of its proper divisors (12374463277440).

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

3541180325760 is a wasteful number, since it uses less digits than its factorization.

3541180325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380256 (or 380231 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3541180325760 in words is "three trillion, five hundred forty-one billion, one hundred eighty million, three hundred twenty-five thousand, seven hundred sixty".